title stringlengths 1 131 | url stringlengths 33 167 | content stringlengths 0 637k |
|---|---|---|
Zhenbin Yang | https://ncatlab.org/nlab/source/Zhenbin+Yang |
* [webpage](https://profiles.stanford.edu/zhenbin-yang?releaseVersion=7.16.0)
## Selected writings
General aspects of [[nearly AdS2-CFT1]] ([[JT-gravity]]/matrix models):
* [[Juan Maldacena]], [[Douglas Stanford]], [[Zhenbin Yang]], _Conformal symmetry and its breaking in two dimensional Nearly Anti-de... |
Zheng Yin | https://ncatlab.org/nlab/source/Zheng+Yin |
* [SemanticScholar page](https://www.semanticscholar.org/author/Zheng-Yin/2048400828)
## Selected writings
On a [[matrix model]] for the [[3-brane in 6d]] arising as the [[brane intersection|intersection]] of two [[M5-branes]]:
* {#KachruOzYin98} [[Shamit Kachru]], [[Yaron Oz]], [[Zheng Yin]], *Matrix Desc... |
Zheng-Cheng Gu | https://ncatlab.org/nlab/source/Zheng-Cheng+Gu |
* [personal page](http://www.phy.cuhk.edu.hk/people/teaching/zcgu.html)
* [GoogleScholar page
](https://scholar.google.com/citations?user=lbiF_2MAAAAJ&hl=en)
## Selected writings
On [[string-net models]] via [[tensor networks]]:
* [[Zheng-Cheng Gu]], [[Michael Levin]], [[Brian Swingle]], [[Xiao-Gang We... |
Zheng-Xin Liu | https://ncatlab.org/nlab/source/Zheng-Xin+Liu |
* [Institute page](https://wlibuaa.github.io/authors/zheng-xin-liu/)
* [GoogleScholar page](https://scholar.google.com/citations?user=hkjrTeMAAAAJ&hl=en)
## Selected writings
Claim that [[group cohomology]] classifies [[boson|bosonic]] [[symmetry protected topological phases]]:
* {#CGLW11} [[Xie Chen]], [... |
Zhenghan Wang | https://ncatlab.org/nlab/source/Zhenghan+Wang |
* [webpage](http://stationq.cnsi.ucsb.edu/~wang/)
## Selected writings
On [[modular tensor categories]]:
* [[Eric Rowell]], [[Richard Stong]], [[Zhenghan Wang]], *On classification of modular tensor categories*, Comm. Math. Phys. 292 (2009) no. 2, 343--389 ([arXiv:0712.1377](https://arxiv.org/abs/0712.1377... |
Zhi Lu | https://ncatlab.org/nlab/source/Zhi+Lu |
* [webpage](http://homepage.fudan.edu.cn/zhilu/)
## Selected writings
On [[Calabi-Yau manifolds]] in [[SU-bordism theory]] (see [[Calabi-Yau manifolds in SU-bordism theory]]):
* [[Ivan Limonchenko]], [[Zhi Lu]], [[Taras Panov]], _Calabi-Yau hypersurfaces and SU-bordism_, Proceedings of the Steklov Institut... |
Zhih-Ahn Jia | https://ncatlab.org/nlab/source/Zhih-Ahn+Jia | * [Blog](https://zhihahnjia.wordpress.com/author/zhihahnjia/)
* [Publication list](https://arxiv.org/search/?query=Jia%2C+Zhih-ahn&searchtype=author&abstracts=show&order=-announced_date_first&size=50)
category: people |
Zhiqin Lu | https://ncatlab.org/nlab/source/Zhiqin+Lu |
* [webpage](http://www.math.uci.edu/~zlu/)
## related $n$Lab entries
* [[moduli space of Calabi-Yau manifolds]]
category: people |
Zhiwei Yun | https://ncatlab.org/nlab/source/Zhiwei+Yun |
* [Institute page](https://math.mit.edu/~zyun/)
* [Wikipedia entry](https://en.wikipedia.org/wiki/Zhiwei_Yun)
## Selected writings
Relating the [[Pontrjagin algebra]] on [[loop groups]] of [[compact Lie groups]] to their [[Langlands dual groups]]:
* [[Zhiwei Yun]], [[Xinwen Zhu]], *Integral homology of lo... |
Zhouli Xu | https://ncatlab.org/nlab/source/Zhouli+Xu | [Website](https://sites.google.com/view/xuzhouli/)
## Selected writings
On [[homotopy groups of spheres]] and the framed [[bordism ring]] ([[MFr]]):
* {#WangXu10} [[Guozhen Wang]], [[Zhouli Xu]], Section 2.6 of: _A survey of computations of homotopy groups of Spheres and Cobordisms_, 2010 ([pdf](http://math.... |
Zhuan Li | https://ncatlab.org/nlab/source/Zhuan+Li |
* [personal page](https://www.physicsandastronomy.pitt.edu/people/zhuan-li)
## Selected writings
On detection of [[topological order]] by observing [[modular transformations]] on the [[ground state]]:
* [[Zhuan Li]], [[Roger S. K. Mong]], *Detecting topological order from modular transformations of ground st... |
Zhuo Chen | https://ncatlab.org/nlab/source/Zhuo+Chen | ## Zhuo Chen ##
Professor of Mathematics
###Institute:###
Department of Mathematics, Tsinghua University
###Address:###
Tsinghua University Campus,
100084
Beijing, China. P.R.China
###Research Interests:###
[[Poisson ... |
Zi-zhi Wang | https://ncatlab.org/nlab/source/Zi-zhi+Wang |
* [spire page](https://inspirehep.net/authors/1700357)
## Selected writings
On [[quantum information theory]] in view of [[AdS-CFT duality]] ([[holographic entanglement entropy]]):
* [[Bowen Chen]], [[Bartlomiej Czech]], [[Zi-zhi Wang]], *Quantum Information in Holographic Duality*, Rept. Prog. Phys. **85** ... |
Ziegler spectrum | https://ncatlab.org/nlab/source/Ziegler+spectrum | Let $k$ be a fixed field. Consider associative $k$-algebra $A$ and its category of right modules $Mod_A$.
Recall that a monomorphism $f:M\to N$ in $Mod_A$-modules is __pure__ if after tensoring with any left $A$-module $L$ gives a mono $M\otimes_A L\stackrel{f\otimes L}\to N\otimes_A L$. A module $M$ in $Mod_A$ is _... |
zigzag | https://ncatlab.org/nlab/source/zigzag |
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#### Category theory
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# Zigzags
* table of contents
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## Zigzags of morphisms
I... |
zigzag category | https://ncatlab.org/nlab/source/zigzag+category |
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# Contents
* table of contents
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## Idea
The _zigzag categ... |
zigzag identity 1 - SVG | https://ncatlab.org/nlab/source/zigzag+identity+1+-+SVG | <svg width="300" height="200" xmlns="http://www.w3.org/2000/svg" xmlns:se="http://svg-edit.googlecode.com" se:nonce="42715">
<g>
<title>Layer 1</title>
<path id="svg_42715_1" d="m32,24l1,73c-0.666668,60.666656 39.666672,62.333344 40,-1c1.333336,-59.333336 39.666664,-57.666664 40,-1l0,82" fill-opacity="0" stroke-wi... |
zigzag identity 1 implies 2 - SVG | https://ncatlab.org/nlab/source/zigzag+identity+1+implies+2+-+SVG | <svg width="900" height="300" xmlns="http://www.w3.org/2000/svg" xmlns:se="http://svg-edit.googlecode.com" se:nonce="24191">
<g>
<title>Layer 1</title>
<path id="svg_24191_1" d="m76,17l-1,50c-1,27 -28,28 -29,3c1,-33 -26,-36 -27,-3l1,46" fill-opacity="0" stroke-width="2" stroke="#000000" fill="#ff0000"/>
<path id... |
zigzag of real numbers - SVG | https://ncatlab.org/nlab/source/zigzag+of+real+numbers+-+SVG |
<svg width="250" height="56" xmlns="http://www.w3.org/2000/svg" xmlns:se="http://svg-edit.googlecode.com" se:nonce="97629">
<g>
<title>Layer 1</title>
<foreignObject x="-98" y="36" id="svg_97629_1" font-size="16" width="344.000003" height="24">
<math display="inline" xmlns="http://www.w3.org/1998/Math/Mat... |
zigzag persistence module | https://ncatlab.org/nlab/source/zigzag+persistence+module |
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... |
Zinbiel algebra | https://ncatlab.org/nlab/source/Zinbiel+algebra | Zinbiel is a mathematical person (in the sense like [[Nicolas Bourbaki]] whose mirror person is Leibniz.
A __Zinbiel algebra__ or __dual Leibniz algebra__ (in $Vec$) is a [[nonassociative algebra]] with a product satisfying
$$
(x y) z = x (z y + y z),
$$
Equivalently, it is an algebra over the operad which is... |
Zinovy Diskin | https://ncatlab.org/nlab/source/Zinovy+Diskin | \rightarrow ( = \to), \longrightarrow, \Rightarrow ( = \implies), \hookrightarrow ( = \embedsin), \mapsto ( = \map), \leftarrow, \longleftarrow, \Leftarrow ( = \impliedby), \hookleftarrow, \leftrightarrow, \Leftrightarrow, \Longleftrightarrow ( = \iff), \nearrow ( = \nearr), \nwarrow ( = \nwarr), \searrow ( = \searr), ... |
Ziv Ran | https://ncatlab.org/nlab/source/Ziv+Ran | * [webpage](http://mathdept.ucr.edu/faculty/ran.html)
## Related pages
* [[Ran space]]
category: people |
Zoe Wyatt | https://ncatlab.org/nlab/source/Zoe+Wyatt |
* [webpage](https://zoewyatt.wordpress.com/)
## Selected writings
On a rigorous [[proof]] of [[moduli stabilization]] of vacuum [[spacetimes]], refuting [Penrose 03](moduli+stabilization#Penrose03) (for $\geq 10$-dimensions with a [[Killing spinor]] on the [[compact topological space|compact]] [[fiber]] and for... |
Zohar Komargodski | https://ncatlab.org/nlab/source/Zohar+Komargodski |
* [webpage at Weizmann institute](http://www.weizmann.ac.il/particle/Zohar/)
* [webpage at IAS](https://www.ias.edu/scholars/zohar-komargodski)
## Selected writings
On the [[theta angle]] in [[QCD]]:
* [[Davide Gaiotto]], [[Anton Kapustin]], [[Zohar Komargodski]], [[Nathan Seiberg]], _Theta, Time Revers... |
Zoltán Zimborás | https://ncatlab.org/nlab/source/Zolt%C3%A1n+Zimbor%C3%A1s |
* [institute page](https://sites.google.com/site/gedentqopt/Members/ZoltanZimboras)
## Selected writings
Discussion of [[asymptotic boundaries]] of [[hyperbolic space|hyperbolic]] [[tensor networks]] as conformal [[quasicrystals]] (see also at [[AdS/CFT in solid state physics]]):
* [[Alexander Jahn]], [[Zolt... |
Zoran Skoda > history | https://ncatlab.org/nlab/source/Zoran+Skoda+%3E+history | < [[Zoran Skoda]]
[[!redirects Zoran Skoda -- history]] |
Zoran Škoda | https://ncatlab.org/nlab/source/Zoran+%C5%A0koda | I am a mathematical physicist/mathematician from Zagreb.
My longer scientific biography is [[zoranskoda:careerpage]]. My Ph.D. is from University of Wisconsin-Madison, 2002 (title: _Coset spaces for quantum groups_ (<a href="https://www.irb2.hr/korisnici/zskoda/abs1">abstract</a>)). I currently teach mathematics as an... |
Zorn's lemma | https://ncatlab.org/nlab/source/Zorn%27s+lemma |
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* table of contents
{: toc}
## Idea
_Zorn\'s lemma_, also known as Kuratowski-Zorn lemma, is a [[proposition]] in [[set theory]] and... |
Zuckerman induction | https://ncatlab.org/nlab/source/Zuckerman+induction |
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## Idea
_Zuckerman induction_ is a special case of [[induced representations|co-induced representations... |
Zuoqin Wang | https://ncatlab.org/nlab/source/Zuoqin+Wang |
* [personal page](http://staff.ustc.edu.cn/~wangzuoq/)
## Selected writings
On [[Cartan's closed subgroup theorem]]:
* [[Zuoqin Wang]], *Cartan's closed subgroup theorem*, Lecture 11 in: [李群引论](http://staff.ustc.edu.cn/~wangzuoq/Courses/13F-Lie/Lie.html), 2013 ([pdf](http://staff.ustc.edu.cn/~wangzuoq/Course... |
Zurab Janelidze | https://ncatlab.org/nlab/source/Zurab+Janelidze | [Website](https://zurab.online/)
## Selected writings
* {#Janelidze2005} [[Zurab Janelidze]], _Subtractive categories_, Appl. Categ. Struct 13, No. 4, 343-350 (2005) ([doi:10.1007/s10485-005-0934-8](https://doi.org/10.1007/s10485-005-0934-8))
* [[Zurab Janelidze]], _Closedness properties of internal relations_... |
Zvi Bern | https://ncatlab.org/nlab/source/Zvi+Bern |
* [webpage](http://personnel.physics.ucla.edu/directory/faculty/bern)
## Selected writings
On the [[worldline formalism]] for [[perturbative quantum field theory]]:
* {#BernKosower91} [[Zvi Bern]], D. Kosower, _Efficient calculation of one-loop QCD amplitudes_ Phys. Rev. D 66 (1991),([journal](http://prl... |
Zvonko Iljazovic | https://ncatlab.org/nlab/source/Zvonko+Iljazovic |
* [Mathematics Genealogy Page](http://genealogy.math.ndsu.nodak.edu/id.php?id=157587)
## Related $n$Lab entries
* [[computable set]]
category: people
|
ZX-calculus | https://ncatlab.org/nlab/source/ZX-calculus |
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* table of contents
{:toc}
## Idea
{#Idea}
The ... |
|cocomplete category > history | https://ncatlab.org/nlab/source/%7Ccocomplete+category+%3E+history | < [[|cocomplete category]]
[[!redirects |cocomplete category -- history]] |
|identity assigning morphism > history | https://ncatlab.org/nlab/source/%7Cidentity+assigning+morphism+%3E+history | < [[|identity assigning morphism]]
[[!redirects |identity assigning morphism -- history]] |
Álvaro Pelayo | https://ncatlab.org/nlab/source/%C3%81lvaro+Pelayo | [Homepage](http://www.math.ucsd.edu/~alpelayo/)
## Publications
On [[homotopy type theory]] and [[univalent foundations]]:
* _Homotopy type theory and Voevodsky's univalent foundations._ [[Álvaro Pelayo]] and [[Michael A. Warren]], 2012. (Bulletin of the AMS, forthcoming) [arXiv](http://arxiv.org/abs/1210.5658... |
Ángel Murcia | https://ncatlab.org/nlab/source/%C3%81ngel+Murcia |
* [inspire page](https://inspirehep.net/authors/1739706)
## Selected writings
On [[contact geometry]] in [[D=6 supergravity]]:
* [[Ángel Murcia]], [[Carlos S. Shahbazi]], *Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity*, Journal of Geometry and Physics *... |
Ángel Uranga | https://ncatlab.org/nlab/source/%C3%81ngel+Uranga | [[!redirects Angel Uranga]]
* [webpage](http://members.ift.uam-csic.es/auranga/intro.html)
## Selected writings
On [[K3]] [[orientifolds]] ($\mathbb{T}^4/G_{ADE}$) in [[type IIA string theory]], hence for [[D8-branes]] and [[D4-branes]]:
* {#ParkUranga98} [[Jaemo Park]], [[Angel Uranga]], _A Note on Superco... |
Æ code | https://ncatlab.org/nlab/source/%C3%86+code |
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## Idea
In [[quant... |
Édouard Goursat | https://ncatlab.org/nlab/source/%C3%89douard+Goursat |
* [[Goursat theorem]]
* [[Stokes theorem]]
* [MacTutor bio](http://www-history.mcs.st-andrews.ac.uk/Biographies/Goursat.html)
category: people
[[!redirects Édouard Goursat]]
[[!redirects Edouard Goursat]]
[[!redirects Edward Goursat]]
[[!redirects É. Goursat]]
[[!redirects É Goursat]]
[[!redirects E. Goursat]]
[[!... |
Élie Cartan | https://ncatlab.org/nlab/source/%C3%89lie+Cartan | **Élie Joseph Cartan** was a French [[differential geometry|differential geometer]]. His results include the classification of complex semisimple [[Lie algebras]] ("Cartan classification"), extension of these results to a class of symmetric spaces, the proof of the Lie--Cartan theorem (after Serre sometimes called... |
Émile Borel | https://ncatlab.org/nlab/source/%C3%89mile+Borel |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Émile_Borel)
## related $n$Lab entries
* [[Borel's theorem]]
category: people
[[!redirects Emile Borel]]
[[!redirects Borel]]
|
Éric Goubault | https://ncatlab.org/nlab/source/%C3%89ric+Goubault | Éric Goubault is a research director at CEA (since 2003), and professor at École Polytechnique since 2005. He is in charge of the Laboratory for the Modelling and Analysis of Interactive Systems (LIST) at CEA, as well as a joint research team (with the same name) between CEA, CNRS and École Polytechnique.
H... |
étale (infinity,1)-site | https://ncatlab.org/nlab/source/%C3%A9tale+%28infinity%2C1%29-site |
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étale algebra | https://ncatlab.org/nlab/source/%C3%A9tale+algebra | +-- {: .rightHandSide}
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## Definition
An $R$-[[associative algebra|... |
étale cohomology | https://ncatlab.org/nlab/source/%C3%A9tale+cohomology | [[!redirects etale cohomology]]
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étale cover | https://ncatlab.org/nlab/source/%C3%A9tale+cover | [[!redirects etale cover]]
#Contents#
* table of contents
{:toc}
## Definition
+-- {: .num_defn}
###### Definition
An **étale cover** of an algebraic [[scheme]] $X$ is a set
$\{p_i : U_i \to X\}$ of [[étale morphism]]s locally of finite type
which are jointly surjective in the sense that $X$ eq... |
étale geometric morphism | https://ncatlab.org/nlab/source/%C3%A9tale+geometric+morphism | [[!redirects etale geometric morphism]]
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## Idea
A [[sheaf]] $F$ on (the [[site]] [[category of open subs... |
étale groupoid | https://ncatlab.org/nlab/source/%C3%A9tale+groupoid |
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## Definition
+-- {: .num_... |
étale homotopy | https://ncatlab.org/nlab/source/%C3%A9tale+homotopy |
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#### $(\infty,1)$-Topos Theory
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étale infinity-groupoid | https://ncatlab.org/nlab/source/%C3%A9tale+infinity-groupoid |
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... |
étale map | https://ncatlab.org/nlab/source/%C3%A9tale+map |
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## Idea
The notion o... |
étale morphism of E-∞ rings | https://ncatlab.org/nlab/source/%C3%A9tale+morphism+of+E-%E2%88%9E+rings |
#Contents#
* table of contents
{:toc}
## Definition
+-- {: .num_defn}
###### Definition
A morphism $f \colon \mathbf{A} \to \mathbf{B}$ of [[E-∞ rings]] is an _étale morphism_ if the underlying homomorphism of [[commutative rings]] $\pi_0 f\colon \pi_0 \mathbf{A}\to \pi_0 \mathbf{B}$ is an [[étale morphis... |
étale site | https://ncatlab.org/nlab/source/%C3%A9tale+site | [[!redirects etale site]]
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étale space | https://ncatlab.org/nlab/source/%C3%A9tale+space |
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* table of contents
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## Definition
Let [[Top]] be a ... |
étale theta function | https://ncatlab.org/nlab/source/%C3%A9tale+theta+function | A concept in [[arithmetic geometry]] introduced by [[Shinichi Mochizuki]] in the context of his [[inter-universal Teichmüller theory]].
###Related concepts
* [[Frobenioid]]
## References
* [[Shinichi Mochizuki]], (2009), 'The étale theta function and its Frobenioid-theoretic manifestations', Kyoto University.... |
étale topos | https://ncatlab.org/nlab/source/%C3%A9tale+topos | [[!redirects etale topos]]
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étendue | https://ncatlab.org/nlab/source/%C3%A9tendue |
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## Idea
An **étendue** (also 'etendue', 'étendu', or 'etendu'; from French 'étendue' ... |
Évariste Galois | https://ncatlab.org/nlab/source/%C3%89variste+Galois |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Évariste_Galois)
* [MacTutorBiographies page](https://mathshistory.st-andrews.ac.uk/Biographies/Galois/)
## Selected writings
* [[Évariste Galois]], *[[Galois' last letter|letter to Auguste Chevallier]]* (29 May 1832) [scan of original: [wikipedi... |
Øystein Ore | https://ncatlab.org/nlab/source/%C3%98ystein+Ore | __Øystein Ore__ was a Norwegian algebraist and graph theorist. His Norwegian name in his mathematical articles was however spelled as Oystein Ore. He introduced [[Ore extension]]s and Ore conditions for [[Ore set]]s (in the context of study of linear equations over noncommutative [[Ore domain]]s) of rings. Ore int... |
Čech cohomology | https://ncatlab.org/nlab/source/%C4%8Cech+cohomology |
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#### Cohomology
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#Čech cohomology#
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## Idea... |
Čech cohomology > history | https://ncatlab.org/nlab/source/%C4%8Cech+cohomology+%3E+history | < [[Čech cohomology]] |
Čech cover | https://ncatlab.org/nlab/source/%C4%8Cech+cover | # Čech covers
* table of contents
{: toc}
## Idea
A _Čech cover_ is a [[Čech nerve]] $C(U)$ that comes from a [[cover]] $U \to X$.
## Definition
Let $C$ be a [[site]] and $\{U_i \to X\}$ a covering [[sieve]]. Write $U = \sqcup_i Y(U_i)$ for the [[coproduct]] of the patches in the [[presheaf]] category $P... |
Čech descent | https://ncatlab.org/nlab/source/%C4%8Cech+descent | ## Idea
The **Čech descent** condition is used to refer to a specific [[∞-descent]] condition for [[∞-presheaves]].
Concretely, Čech descent can be implemented by performing the [[left Bousfield localization]] of the [[model category]] of [[simplicial presheaves]] equipped with the [[projective model structure]] ... |
Čech groupoid | https://ncatlab.org/nlab/source/%C4%8Cech+groupoid |
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#### Topos Theory
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#Contents#
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## Idea
For $\{U_i \to X\}$ a [[cover]] of a [[space]] $X$, the corresponding **Čech groupoid** is the ... |
Čech homology | https://ncatlab.org/nlab/source/%C4%8Cech+homology |
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#### Algebraic topology
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#Čech homology#
* table of contents
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## Idea
Given a [[topological space]] $X$, its *Čech homology* is the [[limit]] of ... |
Čech homotopy | https://ncatlab.org/nlab/source/%C4%8Cech+homotopy | # Čech homotopy
* table of contents
{: toc}
##Idea and discussion##
In Čech cohomology, in its *traditional* form, you resolve the space by an inverse system or [[pro-object]], $\check{C}(X,-)$, of nerves of open covers (or if you prefer the nerves of the corresponding sheaf of groupoids). For constant a... |
Čech methods | https://ncatlab.org/nlab/source/%C4%8Cech+methods |
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## Idea ##
The construction of Čech homology used coverings of the space by families o... |
Čech model structure on simplicial presheaves | https://ncatlab.org/nlab/source/%C4%8Cech+model+structure+on+simplicial+presheaves |
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#### Model category theory
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#Contents#
* table of contents
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## Idea
The **Čech model structure on simplicial presheaves** on a [[site]] $C$ is a... |
Čech model structure on simplicial sheaves | https://ncatlab.org/nlab/source/%C4%8Cech+model+structure+on+simplicial+sheaves |
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#### $(\infty,1)$-Topos Theory
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... |
Čech nerve | https://ncatlab.org/nlab/source/%C4%8Cech+nerve |
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# Čech nerve
* table of contents
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## Definition
### In category theory
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###### Definition
In a [[category]] $... |
Čedomir Crnković | https://ncatlab.org/nlab/source/%C4%8Cedomir+Crnkovi%C4%87 | [[!redirects Cedomir Crnković]]
* [MathematicsGenealogy page](https://www.genealogy.math.ndsu.nodak.edu/id.php?id=206648)
* [inspire page](https://inspirehep.net/authors/2295325)
## Selected writings
On the [[covariant phase space]] for [[field theories]]:
* [[Čedomir Crnković]], [[Edward Witten]], *Cova... |
Łoś ultraproduct theorem | https://ncatlab.org/nlab/source/%C5%81o%C5%9B+ultraproduct+theorem | +-- {: .rightHandSide}
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### Context
#### Model theory
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#Contents#
* table of contents
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## Idea
The Łoś [[ultraproduct]] theorem characterizes the [[first-order theory]] of an ultraproduct o... |
Łukasiewicz logic | https://ncatlab.org/nlab/source/%C5%81ukasiewicz+logic |
\tableofcontents
## Idea
(...)
## Related concepts
* [[fuzzy logic]]
* [[linear logic]]
* [[substructural logic]]
* [[MV-algebra]]
## References
* Wikipedia, [Łukasiewicz logic](https://en.wikipedia.org/wiki/%C5%81ukasiewicz_logic)
Łukasiewicz logic is discussed in section 5 of:
* [[P... |
δ-ring | https://ncatlab.org/nlab/source/%CE%B4-ring | \tableofcontents
## Definition
(Definition 2.1 in Bhatt–Scholze.)
Fix a prime $p$.
A __δ-ring__ is a pair $(R,\delta)$,
where $R$ is a [[commutative ring]]
and $\delta\colon R\to R$ is a map of underlying sets
such that $\delta(0)=0$, $\delta(1)=0$,
$$\delta(x y)=x^p \delta(y)+y^p \delta(x) + p\delta(x)\d... |
κ-ary exact category | https://ncatlab.org/nlab/source/%CE%BA-ary+exact+category |
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### Context
#### Regular and Exact categories
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#### Category Theory
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# $\kappa$-ary regular and exact catego... |
κ-ary site | https://ncatlab.org/nlab/source/%CE%BA-ary+site |
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#### Topos Theory
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#### Category Theory
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# $\kappa$-ary sites
* table of contents
{: toc}
## Idea
A *$\kappa$-ary site* is... |
π-Kan condition | https://ncatlab.org/nlab/source/%CF%80-Kan+condition |
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#Contents#
* table of contents
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## Idea
The *$\pi_\ast$-Kan condition* ([Bousfield & Friedlander 1978, B.3](#BousfieldFriedlander78)) on a... |
Π-pretopos | https://ncatlab.org/nlab/source/%CE%A0-pretopos |
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#### Topos Theory
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# Contents
* table of contents
{: toc}
## Definition
A **$\Pi$-pretopos** is a [[pretopos]] that is also a [[locally cartesian closed category]].
## Related conc... |
ΠW-pretopos | https://ncatlab.org/nlab/source/%CE%A0W-pretopos |
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#### Topos Theory
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# Contents
* table of contents
{: toc}
## Definition
A **$\Pi W$-pretopos** is a [[Π-pretopos]] with all [[W-types]].
## Examples
{#Examples... |
σ-meson | https://ncatlab.org/nlab/source/%CF%83-meson |
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### Context
#### Fields and quanta
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#Contents#
* table of contents
{:toc}
## Idea
The _sigma-meson_, now also called the _$f_0(500)$-resonance_, is the [[light meson|lightes... |
ω-category > history | https://ncatlab.org/nlab/source/%CF%89-category+%3E+history | < [[∞-category]]
[[!redirects ∞-category/history]]
[[!redirects ∞-category -- history]] |
ω-meson | https://ncatlab.org/nlab/source/%CF%89-meson |
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### Context
#### Fields and quanta
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#Contents#
* table of contents
{:toc}
## Idea
In [[nuclear physics]], specifically in the [[chiral perturbation theory]] of [[quantum c... |
Е. Б. Богомольный | https://ncatlab.org/nlab/source/%D0%95.+%D0%91.+%D0%91%D0%BE%D0%B3%D0%BE%D0%BC%D0%BE%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9 | [[!redirects Е. Б. Богомольний]]
Evgeny Bogomolny
* [webpage](http://www.itp.ac.ru/en/persons/bogomolny-evgeny-borisovich)
## Papers and related $n$Lab entries
* [[BPS state]]
* E. B. Bogomolny, _Stability of slassical solutions_, Sov. J. Nucl. Phys. 24 (1976), 449; Yad. Fiz. 24 (1976), 861
category: pe... |
Павел Мнёв | https://ncatlab.org/nlab/source/%D0%9F%D0%B0%D0%B2%D0%B5%D0%BB+%D0%9C%D0%BD%D1%91%D0%B2 | [[!redirects Pavel Mnev]]
* [webpage](http://www.pdmi.ras.ru/~pmnev/)
## Selected writings
On [[BV quantization]]:
* [[Alberto S. Cattaneo]], [[Pavel Mnev]], [[Michele Schiavina]], *BV Quantization*, [[Encyclopedia of Mathematical Physics 2nd ed]] [[arXiv:2307.07761](https://arxiv.org/abs/2307.07761)... |
שנה טובה > history | https://ncatlab.org/nlab/source/%D7%A9%D7%A0%D7%94+%D7%98%D7%95%D7%91%D7%94+%3E+history | < [[שנה טובה]] |
’t Hooft operator | https://ncatlab.org/nlab/source/%E2%80%99t+Hooft+operator |
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#### Physics
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[[!include physicscontents]]
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#### Chern-Weil theory
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[[!include infinity-Chern-Weil theory - contents]]
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#### Differential cohomology
+--{: .hide}
[[!include differential cohomology - co... |
ℓ-adic cohomology | https://ncatlab.org/nlab/source/%E2%84%93-adic+cohomology |
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#### Cohomology
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[[!include cohomology - contents]]
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#### Étale morphisms
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[[!include etale morphisms - contents]]
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#Contents#
* table of contents
{:toc}
## Idea
$\ell$-Adic co... |
∞-category > history | https://ncatlab.org/nlab/source/%E2%88%9E-category+%3E+history | < [[∞-category]]
[[!redirects ∞-category/history]]
[[!redirects ∞-category -- history]] |
∞-group cohomology | https://ncatlab.org/nlab/source/%E2%88%9E-group+cohomology | #Contents#
* table of contents
{:toc}
## Idea
For $\mathbf{H}$ an [[∞-topos]] and for $G \in Grp(\mathbf{H})$ an [[∞-group]] in $\mathbf{H}$, the higher analog of [[group cohomology]] of $G$ is the [[cohomology]] of the [[delooping]] object $\mathbf{B}G \in \mathbf{H}$.
Given a [[cocycle]] $\mathbf{B}G \longrightarr... |
∞-group ∞-ring | https://ncatlab.org/nlab/source/%E2%88%9E-group+%E2%88%9E-ring |
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###Context###
#### Algebra
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[[!include higher algebra - contents]]
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#### Group Theory
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[[!include group theory - contents]]
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#Contents#
* table of contents
{:toc}
## Idea
Given a [[group objec... |
∞-groupoid > history | https://ncatlab.org/nlab/source/%E2%88%9E-groupoid+%3E+history | < [[∞-groupoid]]
[[!redirects ∞-groupoid/history]]
[[!redirects ∞-groupoid -- history]] |
∞-stack > history | https://ncatlab.org/nlab/source/%E2%88%9E-stack+%3E+history | < [[∞-stack]]
[[!redirects ∞-stack/history]]
[[!redirects ∞-stack -- history]] |
∞Grpd > history | https://ncatlab.org/nlab/source/%E2%88%9EGrpd+%3E+history | < [[∞Grpd]]
[[!redirects ∞Grpd/history]]
[[!redirects ∞Grpd -- history]] |
道德經 | https://ncatlab.org/nlab/source/%E9%81%93%E5%BE%B7%E7%B6%93 | [[!redirects 道德经]]
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### Context
#### Philosophy
+-- {: .hide}
[[!include philosophy - contents]]
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# Tao Te Ching
* table of contents
{: toc}
(...)
## On nothing, being and becoming
On [[being]], [[nothing]] and [[becoming]]... |
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