Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 254-260
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A. O. Prishlyak. Morse–Smale Vector Fields without Closed Trajectories on 3-Manifolds. Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 254-260. http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a8/
@article{MZM_2002_71_2_a8,
author = {A. O. Prishlyak},
title = {Morse{\textendash}Smale {Vector} {Fields} without {Closed} {Trajectories} on {3-Manifolds}},
journal = {Matemati\v{c}eskie zametki},
pages = {254--260},
year = {2002},
volume = {71},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a8/}
}
TY - JOUR
AU - A. O. Prishlyak
TI - Morse–Smale Vector Fields without Closed Trajectories on 3-Manifolds
JO - Matematičeskie zametki
PY - 2002
SP - 254
EP - 260
VL - 71
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a8/
LA - ru
ID - MZM_2002_71_2_a8
ER -
%0 Journal Article
%A A. O. Prishlyak
%T Morse–Smale Vector Fields without Closed Trajectories on 3-Manifolds
%J Matematičeskie zametki
%D 2002
%P 254-260
%V 71
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a8/
%G ru
%F MZM_2002_71_2_a8
We study Morse–Smale vector fields on 3-manifolds. A topological classification of such vector fields in terms of homeomorphisms of surfaces with two sets of circles on them is given. An algorithm verifying the existence of such homeomorphisms is constructed.