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Morse homology on noncompact manifolds

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arxiv 0911.1805 v1 pith:L62ZT4D6 submitted 2009-11-09 math.SG

Morse homology on noncompact manifolds

classification math.SG
keywords bidirectdifferentlimitsmorsesystemactionbreakingchain
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Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

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