Topological equivalence of smooth functions with isolated critical points on a closed surfaces
Geometric Topology
2007-05-23 v1
Abstract
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 for the some nonnegative integer k. The full topological invariant of such functions is constructed.
Keywords
Cite
@article{arxiv.math/9912004,
title = {Topological equivalence of smooth functions with isolated critical points on a closed surfaces},
author = {Alexander O. Prishlyak},
journal= {arXiv preprint arXiv:math/9912004},
year = {2007}
}
Comments
12 pages without figures