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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 …
Allen Hatcher's user avatar
10 votes
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Handle decompositions using only 1-handles

The second statement ought to be in the literature somewhere but I don't know a reference so I'll give an argument. The result can be rephrased in terms of graphs. Let $S$ be a compact connected sur …
Allen Hatcher's user avatar