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Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary

We consider m-fields that are generalizations of the Morse–Smale vector fields for manifolds with boundary. We construct complete topological invariants of m-fields on surfaces and m-fields without closed trajectories on three-dimensional manifolds. We also prove criteria for the topological equival...

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Bibliographic Details
Date:	2003
Main Authors:	Prishlyak, O. O., Пришляк, А. О.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3954
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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