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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