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Results tagged with at.algebraic-topology
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user 36466
Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
homologies of some subsets of ${R}^{n}$
Let me try again after deleting an answer based on a misunderstanding of the question. (Thanks to @YCor for pointing this out.)
Edited thanks to observations of Dan Petersen.
Your space $A(n,k)$ is …
- 3,571
11
votes
Accepted
Effect on homology of decorating vertices of a simplicial complex
If I understand correctly, $w \in S_m$ acts by sending $(v,i)$ to $(v,w(i))$. If so, you are in the nice situation where the stabilizer of a face fixes every point in that face. So, for $w \in S_m$, …
- 3,571
3
votes
Accepted
Posets of finite sequences are highly connected
If I understand your question correctly, an answer should appear in the paper "On lexicographically shellable posets" of Anders Bj\"orner and Michelle Wachs, in Transactions of the AMS 277, pp. 323-34 …
- 3,571