arXiv subjects

Alexander O. Prishlyak

Publications and source records attributed to Alexander O. Prishlyak.

2 recordsLinked to original sources

arXiv1999

Topological equivalence of smooth functions with isolated critical points on a closed surfaces

We consider functions with isolated critical points on a closed surface. We prove that in a neighborhood of a critical point the function conjugates with Re$z^k$ for the some nonnegative integer k. The full topological invariant of such functions is constructed.

math.GT↗

arXiv1999

Gradient like Morse-Smale dynamical systems on 4-manifolds

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 case of polar vector field without fixed points of index 3.

math.DS↗