On the stratification of a compact 3-manifold by the trajectroy spaces of a Morse-Smale flow

Abstract

We consider a Morse function f and a Morse-Smale gradient-like vector field X on a compact connected oriented 3-manifold M such that f has only one critical point of index 3. Based on Laudenbach’s ideas [1], we will show that the flow of X can be isotoped into one so that the trajectory spaces of the new flow provide a stratification for M . We will… (More)

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