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Talk:Morse theory - Wikipedia, the free encyclopedia

Talk:Morse theory

From Wikipedia, the free encyclopedia

WikiProject Mathematics
This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating: B Class Mid Priority  Field: Topology
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[edit] New To Advanced Math

Hi; I'm trying desperately to understand many of these advanced principals of mathematics, such as Morse theory, but no matter how many times I review the material, it doesn't sink in. Could someone please provide examples, problems to solve (with their solutions) and/or ways to visualize this? beno 26 Jan 2006

[edit] Other generalisations

It seems to me that this article might benefit from a discussion of Smale's take on Morse theory (using handles) and also Morse-Smale-Witten theory (critical points of index k generate the k-chains in a chain complex with boundary operator given by \delta : C_{k} \rightarrow C_{k - 1} that sends a critical point of index k to a sum of the critical points of index k - 1 reachable by paths from that point counted with degeneracy. However it is also possible that this will just obfuscate the general message of the article and will just make things too complex, so I merely choose to mention this in passing rather than perform edits myself.RogueTeddy 06:18, 29 June 2007 (UTC)

Nevermind, I see that this has already been done. I have updated the "see also" links on the main article accordingly.RogueTeddy 06:24, 29 June 2007 (UTC)


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