Is it always possible to put a cell structure on a manifold? in other words is it possible to decompose a manifold as a CW complex? I know that by Morse theory we always have a handle decomposition of the manifold which shows that it is homotopy equivalent to a CW complex, but it does not show that it is homeomorphic or diffeomorphic to a CW complex.
2026-04-03 03:53:36.1775188416
Cellular structure on a manifold
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