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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.

6 votes
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Does there always exist a sequence of handle moves between handle decompositions that does n...

Reference request: Firstly, I'm looking for a proof of the following well-known result about handle decompositions: ($\ast$) Given two handle decompositions of a smooth $n$-manifold $M$, there exi …