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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