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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry bundles calculus categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories itex k-theory lie lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes science set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory type type-theory universal variational-calculus

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- Discussion Type
- discussion topicCompLF v1
- Category Latest Changes
- Started by atmacen
- Comments 1
- Last comment by atmacen
- Last Active Jul 14th 2020

- Discussion Type
- discussion topicPaolo Piccione
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

brief

`category:people`

-entry for hyperlinking references at*flat orbifold*and at*Lorentzian manifold*

- Discussion Type
- discussion topicsmooth Lorentzian space
- Category Latest Changes
- Started by Urs
- Comments 11
- Last comment by Urs
- Last Active Jul 14th 2020

expanded the previously pretty empty entry smooth Lorentzian space.

I added some standard definitions for smooth Lorentzian manifolds and then a discussion on how a time orientation without closed future-directed curves induces the structure of a category that is a poset, where a morphism witnesses the fact that is a point in the future of .

- Discussion Type
- discussion topicAndrei Moroianu
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

brief

`category:people`

-entry for hyperlinking references at*Kähler manifold*

- Discussion Type
- discussion topicCompLF v0
- Category Latest Changes
- Started by atmacen
- Comments 1
- Last comment by atmacen
- Last Active Jul 14th 2020

- Discussion Type
- discussion topicFederica Pasquotto
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

brief

`category:people`

-entry for hyperlinking references at*G-structure*

- Discussion Type
- discussion topicDaniël Prins
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

brief

`category:people`

-entry for hyperlinking references at*G-structure*and elsewhere

- Discussion Type
- discussion topicadjoint (infinity,1)-functor
- Category Latest Changes
- Started by Urs
- Comments 17
- Last comment by Urs
- Last Active Jul 14th 2020

polished and expanded adjoint (infinity,1)-functor

- Discussion Type
- discussion topicYoneda lemma for (infinity,1)-categories
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

For completeness I have added pointer to

- Emily Riehl, Dominic Verity, Section 6 of:
*Fibrations and Yoneda’s lemma in an $\infty$-cosmos*, Journal of Pure and Applied Algebra Volume 221, Issue 3, March 2017, Pages 499-564 (arXiv:1506.05500, doi:10.1016/j.jpaa.2016.07.003)

though there should really be some accompanying discussion of how this form of the statement is related to the usual one in terms of presheaves.

- Emily Riehl, Dominic Verity, Section 6 of:

- Discussion Type
- discussion topichomotopy 2-category
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

added pointer to

- Emily Riehl, Dominic Verity, Section 3 of:
*Fibrations and Yoneda’s lemma in an $\infty$-cosmos*, Journal of Pure and Applied Algebra Volume 221, Issue 3, March 2017, Pages 499-564 (arXiv:1506.05500, doi:10.1016/j.jpaa.2016.07.003)

- Emily Riehl, Dominic Verity, Section 3 of:

- Discussion Type
- discussion topichomotopy 2-category of (∞,1)-categories
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 14th 2020

- Discussion Type
- discussion topicLuis Scoccola
- Category Latest Changes
- Started by David_Corfield
- Comments 1
- Last comment by David_Corfield
- Last Active Jul 14th 2020

- Discussion Type
- discussion topicwalking equivalence
- Category Latest Changes
- Started by Richard Williamson
- Comments 17
- Last comment by Mike Shulman
- Last Active Jul 13th 2020

Quick page, analogous to walking isomorphism.

- Discussion Type
- discussion topiccategorical model of dependent types
- Category Latest Changes
- Started by Mike Shulman
- Comments 33
- Last comment by David_Corfield
- Last Active Jul 13th 2020

Created categorical model of dependent types, describing the various different ways to strictify category theory to match type theory and their interrelatedness. I wasn’t sure what to name this page — or even whether it should be part of some other page — but I like having all these closely related structures described in the same place.

- Discussion Type
- discussion topicMarcel Berger
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 13th 2020

brief

`category:people`

-entry for hyperlinking references at*Berger’s theorem*

- Discussion Type
- discussion topicquantum cosmology
- Category Latest Changes
- Started by Urs
- Comments 3
- Last comment by Guest
- Last Active Jul 13th 2020

put a little paragraph into

*quantum cosmology*, to go with this discussion.

- Discussion Type
- discussion topicSchwinger-Dyson equation
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by nLab edit announcer
- Last Active Jul 12th 2020

at

*Schwinger-Dyson equation*I have added the statement, a word on the interpretation, and referencesthen I added details and proof of the Schwinger-Dyson equation (following Rejzner 16, remark 7.7) at

*BV-operator*: here

- Discussion Type
- discussion topicIRIF
- Category Latest Changes
- Started by Tim_Porter
- Comments 1
- Last comment by Tim_Porter
- Last Active Jul 12th 2020

- Discussion Type
- discussion topicCompLF
- Category Latest Changes
- Started by atmacen
- Comments 47
- Last comment by atmacen
- Last Active Jul 11th 2020

- Discussion Type
- discussion topictopology
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by nLab edit announcer
- Last Active Jul 11th 2020

added pointer to

- Michael Müger,
*Topology for the working mathematician*, Nijmegen 2018 (pdf)

- Michael Müger,

- Discussion Type
- discussion topicAndy Tonks
- Category Latest Changes
- Started by Tim_Porter
- Comments 2
- Last comment by Tim_Porter
- Last Active Jul 11th 2020

- Discussion Type
- discussion topicEilenberg-Zilber theorem
- Category Latest Changes
- Started by Urs
- Comments 5
- Last comment by Tim_Porter
- Last Active Jul 11th 2020

created quick entry on Eilenberg-Zilber theorem

(to go with simplicial deRham complex)

but check. I am really in a hurry now and have to leave it in a somewhat stubby state.

- Discussion Type
- discussion topiccomplex orbifold
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 10th 2020

- Discussion Type
- discussion topicsymplectic orbifold
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 10th 2020

- Discussion Type
- discussion topicRobert Wolak
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 10th 2020

brief

`category:people`

-entry for hyperlinking references at*orbifold*and*G-structure*

- Discussion Type
- discussion topicmapping stack
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Jul 10th 2020

added publication data for

- Behrang Noohi,
*Mapping stacks of topological stacks*, Journal für die reine und angewandte Mathematik, Volume 2010, Issue 646 (arXiv:0809.2373, doi:10.1515/crelle.2010.067)

- Behrang Noohi,

- Discussion Type
- discussion topicmoduli space of super Riemann surfaces
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 10th 2020

- Discussion Type
- discussion topicsuper-orbifold
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Jul 10th 2020

- Discussion Type
- discussion topicsuper Riemann surface
- Category Latest Changes
- Started by Urs
- Comments 7
- Last comment by Urs
- Last Active Jul 10th 2020

created a stub for

*super Riemann surface*, just to record Witten’s latest

- Discussion Type
- discussion topictheory of model homomorphisms
- Category Latest Changes
- Started by Thomas Holder
- Comments 5
- Last comment by Thomas Holder
- Last Active Jul 10th 2020