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Results tagged with simplicial-complexes
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user 43054
5
votes
Accepted
contracting homotopy on simplicial sets
It is easier to define the map you're looking for if you adjoint it over and define a map
$Map(\Delta[1],X)\to Map(\Delta[1],Map(\Delta[1],X)) = Map (\Delta[1]\times \Delta[1],X)$
Then this comes fr …
- 16.5k
15
votes
Accepted
Are finite spaces a model for finite CW-complexes?
The answer to question (1) is yes and it follows from the following theorem by McCord:
Theorem 1. (i) For each finite topological space $X$ there exist a finite simplicial complex $K$ and a weak homo …
- 16.5k