2017
Том 69
№ 9

All Issues

Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds

Prishlyak A. O.

Full text (.pdf)


Abstract

For the Morse–Smale vector fields with beh2 on three-dimensional manifolds, we construct complete topological invariants: diagram, minimal diagram, and recognizing graph. We prove a criterion for the topological equivalence of these vector fields.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 603-612.

Citation Example: Prishlyak A. O. Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 492-500.

Full text