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Results tagged with simplicial-stuff
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user 2625
For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc.
3
votes
1
answer
467
views
Closure of the homotopy relation for a simplicial set
Define a reflexive relation on the set of zero-simplices of a simplicial set $A$ by saying that $x\sim y$ iff there is a one-simplex $h$ with $0$-face $y$ and $1$-face $x$. This is not an equivalence …
- 2,782
6
votes
1
answer
2k
views
Question on the interpretation of a presheaf category as a co-completion
The category of presheaves $Pre(C)$ on a small category $C$ is the category of functors $C^{op}\to Sets$. Since the category of sets is co-complete and every presheaf is a colimit of representable one …
- 2,782