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Results tagged with ct.category-theory
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user 23754
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
1
vote
0
answers
153
views
Pushout of the skeleton of homotopy colimit of diagrams
First of all let me define what homotopy colimit i'm talking about. Let F be a functor from a small category to the category of simplicial set, the homotopy colimit is the simplicial realization of th …
- 111
0
votes
4
answers
2k
views
Realization of a bisimplicial set
Hello,
I just need some clarification (or a good reference) for the definition of the realization of a bisimplicial set, this is what i have when $X$ is a bisimplicial set its realization is
$\cup_n …
- 111
-4
votes
Accepted
Realization of a bisimplicial set
I think the easiest way to see it is that :
$|X|_k=\cup_n (X_{n,k} \times \Delta[n]_k)/\sim$ subject to the following equivalence relation
$(d_ix,p) \sim (x,d_ip), (x,p) \in X_{n,k} \times \Delta[n-1 …
- 111