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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• the idea and some references

• Page created, but author did not leave any comments.

• Included the usual page details.

• a stub, for the moment just so as to record references

• Starting to state the lemmas here.

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

added the same statement also at Fulton-MacPherson operad

• started some minimum at exceptional field theory (the formulation of 11d supergravity that makes the exceptional U-duality symmetry manifest)

• added references on stable splitting of mapping spaces, and a brief paragraph with pointers to the Examples-section (here)

• Tried to improve the wording of the first paragraph.

• Added a couple of recent references in condensed matter physics.

• I am starting to bring (infinity,n)-category into shape. So far I have

• rewritten the Idea-section

• added a bare minimum of the axiomatic characterization

• also polished n-category a bit.

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

• Page created, but author did not leave any comments.

• Page created, but author did not leave any comments.

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

• Page created, but author did not leave any comments.

• Page created, but author did not leave any comments.

• 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)
• Stub

• For a change, I added some actual text to this category:people-entry, highlighting a little the content and relevance of (parts of) the research.

• Page created, but author did not leave any comments.

• 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.

• gave this material, taken from the Examples-section at filtered topological space, its own entry

Didn’t touch the material beyond some trivial formatting and adding more references.

• 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.)