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Results tagged with simplicial-stuff
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user 5587
For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc.
44
votes
Is there a high-concept explanation for why "simplicial" leads to "homotopy-theoretic"?
There are several people here much more qualified to speak about that, so I shall just give you some pointers now. One of the questions Grothendieck tried to answer when writing "Pursuing Stacks" was …
19
votes
1
answer
874
views
Does the category of strict $2$-categories together with Dwyer-Kan equivalences provide a mo...
The question is the title.
In what follows, all $2$-categories and $2$-functors will be strict. Let $2-Cat$ denote the categories whose objects are $2$-categories and whose morphisms are $2$-functors …
- 2,413
19
votes
Accepted
What is the homotopy theory of categories?
I am not knowledgeable enough to have much to say I have not writen in my answer to a previous question of yours, and I think that David Roberts's answer (or, rather immodestly, my previous one) provi …
- 2,413
12
votes
0
answers
467
views
What is the history of the notion of subdivision of categories?
A recent answer by Peter May prompts me to ask a question which I have been considering to ask for several months. (The reason why I have not asked it before is that it is not directly related to my r …
- 2,413