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math.DS2004
Topological classification of Morse-Smale flows on 3-manifolds
Alexandr Prishlyak
We construct a topological invariant for a Morse-Smale flow on a 3-manifold and prove that the flows are topologically equivalent iff their invariants are same.
math.DS1999
Gradient like Morse-Smale dynamical systems on 4-manifolds
Alexander O. Prishlyak
The complete invariant for gradient like Morse-Smale dynamical systems (vector fields and diffeomorphisms) on closed 4-manifolds are constructed. It is same as Kirby diagram in a c…
math.DS1999
Vector fields with a given set of singular points
A. O. Prishlyak
Theorems on the existence of vector fields with given sets of Indexes of isolated Singular points are proved for the cases of closed manifolds, pairs of manifolds, manifolds with b…
math.DS1999
The Classification of Three-Dimensional Gradient Like Morse-Smale Dynamic Systems
A. O. Prishlyak
The topological classification of gradient like Morse-Smale vector fields and diffeomorphisms on 3-manifolds was obtained.