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Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
0
answers
107
views
Multiplicativity of combinatorial l classes
For closed smooth manifolds $M$ and $N$, the Hirzebruch $L$ class is multiplicative, i.e. $L(M\times N)=L(M)L(N)$. Is this property still true if $M$ and $N$ are assumed to be closed topological manif …
2
votes
1
answer
210
views
"Inverse" of Double Suspension Theorem
My question arose when I was working on a research problem. It is as following:
Let $M$ be a homology manifold whose homology groups are the same as a sphere. Assume further that the double suspensio …