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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry beauty bundles calculus categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions 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 goodwillie-calculus graph graphs gravity group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory history homological homological-algebra homology homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory kan lie lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monoidal monoidal-category-theory morphism motives motivic-cohomology newpage noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pasting philosophy physics planar 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 set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

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- Discussion Type
- discussion topicthe little n-disk operad is formal
- Category Latest Changes
- Started by Urs
- Comments 4
- Last comment by Urs
- Last Active Nov 4th 2018

- Discussion Type
- discussion topicIsmar Volić
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 4th 2018

- Discussion Type
- discussion topiccocategory
- Category Latest Changes
- Started by David_Corfield
- Comments 1
- Last comment by David_Corfield
- Last Active Nov 4th 2018

- Discussion Type
- discussion topicsemialgebraic manifold
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 4th 2018

- Discussion Type
- discussion topicInitiality Project - Substitution
- Category Latest Changes
- Started by Mike Shulman
- Comments 5
- Last comment by atmacen
- Last Active Nov 4th 2018

- Discussion Type
- discussion topiclittle cubes operad
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 4th 2018

added statement of and references to the weak equivalence with the Fulton-MacPherson operad (here)

added the same statement also at

*Fulton-MacPherson operad*

- Discussion Type
- discussion topicPascal Lambrechts
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 3rd 2018

brief category:people entry for hyperlinking references at

*configuration space of points*and*little n-disk operad*

- Discussion Type
- discussion topiccategory theory
- Category Latest Changes
- Started by Eric
- Comments 62
- Last comment by AlexisHazell
- Last Active Nov 2nd 2018

I removed some spam on category theory.

- Discussion Type
- discussion topicexceptional field theory
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 2nd 2018

started some minimum at

*exceptional field theory*(the formulation of 11d supergravity that makes the exceptional U-duality symmetry manifest)

- Discussion Type
- discussion topicGoodwillie-Taylor tower
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 2nd 2018

- Discussion Type
- discussion topiccombinatorial Hopf algebra
- Category Latest Changes
- Started by Tim_Porter
- Comments 1
- Last comment by Tim_Porter
- Last Active Nov 2nd 2018

- Discussion Type
- discussion topichigher gauge field
- Category Latest Changes
- Started by David_Corfield
- Comments 1
- Last comment by David_Corfield
- Last Active Nov 1st 2018

- Discussion Type
- discussion topic(infinity,n)-category
- Category Latest Changes
- Started by Urs
- Comments 8
- Last comment by AlexisHazell
- Last Active Nov 1st 2018

I am starting to bring

*(infinity,n)-category*into shape. So far I haverewritten the Idea-section

added a bare minimum of the axiomatic characterization

added references

also polished

*n-category*a bit.

My plan ist to add now technical details to the entry. Let’s see how far I get.

- Discussion Type
- discussion topicInitiality Project - Type Theory - Term equality
- Category Latest Changes
- Started by kyod
- Comments 8
- Last comment by kyod
- Last Active Oct 31st 2018

- Discussion Type
- discussion topicInitiality Project - Type Theory - Type equality
- Category Latest Changes
- Started by kyod
- Comments 3
- Last comment by kyod
- Last Active Oct 31st 2018

- Discussion Type
- discussion topicGiry monad
- Category Latest Changes
- Started by zskoda
- Comments 11
- Last comment by Tim_Porter
- Last Active Oct 31st 2018

Added a reference of Robert Furber, Bart Jacobs at Giry monad.

- Discussion Type
- discussion topicInitiality Project - Semantics
- Category Latest Changes
- Started by Mike Shulman
- Comments 6
- Last comment by Mike Shulman
- Last Active Oct 30th 2018

- Discussion Type
- discussion topic(∞,1)-comparison lemma
- Category Latest Changes
- Started by Ulrik
- Comments 4
- Last comment by Ulrik
- Last Active Oct 30th 2018

- Discussion Type
- discussion topiccompact-open topology
- Category Latest Changes
- Started by Urs
- Comments 28
- Last comment by Richard Williamson
- Last Active Oct 30th 2018

Did anyone ever write out on the $n$Lab the proof that for $X$ locally compact and Hausdorff, then $Map(X,Y)$ with the compact-open topology is an exponential object? (Many entries mention this, but I don’t find any that gets into details.)

I have tried to at least add a pointer in the entry to places where the proof is given. There is prop. 1.3.1 in

- Marcelo Aguilar, Samuel Gitler, Carlos Prieto, sections 1.2, 1.3 of
*Algebraic topology from a homotopical viewpoint*, Springer (2002) (toc pdf)

but of course there are more canonical references. I also added pointer to

- Eva Lowen-Colebunders, Günther Richter,
*An Elementary Approach to Exponential Spaces*, Applied Categorical Structures May 2001, Volume 9, Issue 3, pp 303-310 (publisher)

- Marcelo Aguilar, Samuel Gitler, Carlos Prieto, sections 1.2, 1.3 of

- Discussion Type
- discussion topicComparison lemma
- Category Latest Changes
- Started by adeelkh
- Comments 5
- Last comment by Ulrik
- Last Active Oct 30th 2018

I created the page

- Discussion Type
- discussion topicsynthetic probability theory
- Category Latest Changes
- Started by spitters
- Comments 1
- Last comment by spitters
- Last Active Oct 30th 2018

- Discussion Type
- discussion topicBert Schellekens
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Oct 30th 2018

- Discussion Type
- discussion topicInitiality Project - BibTeX database
- Category Latest Changes
- Started by raghu
- Comments 3
- Last comment by raghu
- Last Active Oct 29th 2018

- Discussion Type
- discussion topicHowTo
- Category Latest Changes
- Started by Urs
- Comments 21
- Last comment by Mike Shulman
- Last Active Oct 29th 2018

Have added to HowTo a description for how to label equations

In the course of this I restructured the section “How to make links to subsections of a page” by giving it a few descriptively-titled subsections.

- Discussion Type
- discussion topicRicardo Campos
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Oct 29th 2018

brief category:people-entry for hyperlinking references at

*graph complex*and*configuration space (mathematics)*

- Discussion Type
- discussion topicGepner model
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Oct 29th 2018

am adding some references. In particular:

All the known rational boundary states for Gepner models can be regarded as permutation branes.

- Discussion Type
- discussion topicSadok Kallel
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Oct 29th 2018

brief category:people-entry for hyperlinking references at

*configuration space (mathematics)*

- Discussion Type
- discussion topicRan space
- Category Latest Changes
- Started by DavidRoberts
- Comments 14
- Last comment by Urs
- Last Active Oct 28th 2018

I put in a reference to Lurie’s course on Tamagawa numbers at Ran space.

- Discussion Type
- discussion topicJames construction
- Category Latest Changes
- Started by Urs
- Comments 4
- Last comment by Urs
- Last Active Oct 28th 2018

gave this material, taken from the Examples-section at

*filtered topological space*, its own entryDidn’t touch the material beyond some trivial formatting and adding more references.

- Discussion Type
- discussion topiccohomotopy
- Category Latest Changes
- Started by Urs
- Comments 5
- Last comment by Urs
- Last Active Oct 28th 2018

At the old entry

*cohomotopy*used to be a section on how it may be thought of as a special case of non-abelian cohomology. While I (still) think this is an excellent point to highlight, re-reading this old paragraph now made me feel that it was rather clumsily expressed. Therefore I have rewritten (and shortened) it, now the third paragraph of the Idea-section.(We had had long discussion about this entry back in the days, but it must have been before we switched to nForum discussion, because on the nForum there seems to be no trace of it.)