A proof of Reidemeister-Singer's theorem by Cerf's methods

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

Heegaard splittings and Heegaard diagrams of a closed 3-manifold M are
translated into the language of Morse functions with Morse-Smale
pseudo-gradients defined on M. We make use in a very simple setting of
techniques developed by Jean Cerf for solving a pseudo-isotopy problem.

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