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arXiv:2208.09939 [math.GT]AbstractReferencesReviewsResources

The minimal number of critical points of a smooth function on a closed manifold and the ball category

Rustam Sadykov, Stanislav Trunov

Published 2022-08-21Version 1

We show that the minimal number of critical points of a function on a given closed manifold M of dimension at least 6 is the same as the minimal number of elements in a Singhof-Takens filling of M by smooth balls with corners.

Comments: 17 pages, 4 figures
Categories: math.GT
Subjects: 55M30, 57R70
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