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On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds

Published 16 Dec 2010 in math.GT | (1012.3643v1)

Abstract: This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain compacti- fied moduli spaces, orientation formulas, and CW structures of the underlying manifolds.

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