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Search: MSC category 57R70 ( Critical points and critical submanifolds )

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1. CJM 2002 (vol 54 pp. 396)

Lebel, André
Framed Stratified Sets in Morse Theory
In this paper, we present a smooth framework for some aspects of the ``geometry of CW complexes'', in the sense of Buoncristiano, Rourke and Sanderson \cite{[BRS]}. We then apply these ideas to Morse theory, in order to generalize results of Franks \cite{[F]} and Iriye-Kono \cite{[IK]}. More precisely, consider a Morse function $f$ on a closed manifold $M$. We investigate the relations between the attaching maps in a CW complex determined by $f$, and the moduli spaces of gradient flow lines of $f$, with respect to some Riemannian metric on~$M$.

Categories:57R70, 57N80, 55N45

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