Complete topological invariants of Morse--Smale flows and handle decompositions of 3-manifolds

A. O. Prishlyak

Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 185-196.

Résumé

We construct a topological invariant for the canonical decomposition on prime and round handles associated with a Morse–Smale flow on a closed 3-manifold. We prove that the flows are topologically equivalent if and only if their invariants coincide.

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