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Homotopy theory, homological algebra, algebraic treatments of manifolds.

1 vote
0 answers
81 views

Homotopy invariant deletions of open faces of simplicial complexes

Given a finite simplicial complex (as a topological space) $\Delta$ and a face $\tau$, suppose we delete the interior of $\tau$ (a point if $\tau$ is a vertex, otherwise homeomorphic to an open ball o …
Aaron Chen's user avatar
11 votes
1 answer
931 views

Computational complexity of computing simplicial homology

Is there any literature regarding the fastest known algorithm to compute the homology groups of a simplicial complex (on n vertices)? What about computing the fundamental group? The context is to tell …
Aaron Chen's user avatar