2017
Том 69
№ 9

All Issues

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

Prishlyak A. O.

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Abstract

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 equivalence of m-fields.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 6, pp 966-973.

Citation Example: Prishlyak A. O. Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary // Ukr. Mat. Zh. - 2003. - 55, № 6. - pp. 799-805.

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