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Homotopy theory, homological algebra, algebraic treatments of manifolds.

1 vote
0 answers
438 views

Lefschetz duality for manifolds with boundary / stratified spaces

Let $M$ be a manifold with corners. Let $F_p$ denote the union of all the codimension $i \geq p$ faces of $M$. Then I have read that there is a form of Lefschetz duality that says that there is an is …
TriThang Tran's user avatar
3 votes
1 answer
747 views

High connectivity arguments for simplicial complexes

I am wondering if there are "elementary" ways to check for $n$-connectedness of simplicial complexes in terms of simple conditions on vertices. For example Let $X$ be the curve complex on a surface …
TriThang Tran's user avatar