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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (72) -n.3 (73), 2013/

Minimal m-handle decomposition of three-dimensional handlebodies

Authors: Alexander Prishlyak, Elena Vyatchaninova

Abstract

For the 3-dimensional handlebody we build an m-handle decomposition with minimal number of handles and prove a criterion of minimality. It is proved that two functions can be connected by a path in the m-function space without inner critical points on the solid torus if they have the same number of critical points of each index.

Taras Shevchenko Kiev National University
Geometry department
4-e, Academician Glushkov pr.
Kiev, Ukraine, 03127
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