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On the number of critical submanifolds of a function on a manifold

We consider differentiable functions on a manifold such that the set of their critical points is a disconnected union of smooth submanifolds. A topological characteristic of the manifold is introduced; in terms of this characteristic, we estimate the least possible number of critical submanifolds of...

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Bibliographic Details
Date:	1993
Main Authors:	Bondar', O. P., Бондарь, О. П.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5979
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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