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Homotopy theory, homological algebra, algebraic treatments of manifolds.

8 votes
4 answers
3k views

The fundamental groupoid and a pushout in the category of groupoids.

Hi, Recently I've been looking at the more general version of Van Kampen's theorem, or R. Browns version of it, for the fundamental groupoid. It mentions that if a space X is the union of the interior …
Dedalus's user avatar
  • 1,071
1 vote
0 answers
190 views

Homotopy colimits over a certain subset category.

Hi! Let $I$ denote all the finite subsets of some set (infinite or finite) S. For each n, let $I_n$ be the subset consisting of objects of cardinality n, so that there are no morphisms between the ob …
Dedalus's user avatar
  • 1,071