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Results tagged with morse-theory
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user 23571
In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
9
votes
Accepted
Self-indexing Morse functions on non-compact manifolds
Since Ryan has reawakened this question, let me add a few remarks. One way to get a handle structure on a manifold $M$ is to start with a smooth triangulation of $M$, so I will assume such a triangul …
- 20k
17
votes
Accepted
Easiest example where pseudo-isotopy fails to be the same as isotopy?
In high dimensions ($\geq 5$) the most basic examples arise on manifolds with nonempty boundary, where one requires that diffeomorphisms restrict to the identity on the boundary. The simplest case is …
- 20k
22
votes
CW-structures and Morse functions: a reference request
The result you are looking for is Theorem 4.18 in "An Introduction to Morse Theory" by Yukio Matsumoto, published by AMS in 2002 (translated from Japanese). The connections between Morse functions, ha …
- 20k