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In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.

9 votes
2 answers
494 views

Regular CW complex arising from a Morse decomposition

Suppose $(M,g)$ is a Riemannian manifold equipped with a Morse function $f: M \rightarrow \mathbb R$. It's been shown that $f$ gives rise to a CW decomposition homeomorphic to $M$ under the generic as …
Mike Catanzaro's user avatar
2 votes
0 answers
142 views

Wrinkling smooth functions

I am interested in applying a result from the work by Eliashberg and Mishachev on wrinkling. Namely, in their first paper on wrinkling, they prove Theorem 1.6 B (Theorem 1.6 A is a non-parameterized v …
Mike Catanzaro's user avatar