English

Classification of O-topologically non-equivalent functions with color chord diagrams

Geometric Topology 2011-11-10 v2 Combinatorics

Abstract

By means of color chord diagrams we establish a necessary and sufficient condition for OO-topological equivalence of functions with one essentially critical point on oriented surfaces with edge. We also calculate the number of OO-topologically non-equivalent functions with one essentially critical point on oriented surfaces with edge.

Keywords

Cite

@article{arxiv.math/0310472,
  title  = {Classification of O-topologically non-equivalent functions with color chord diagrams},
  author = {A. A. Kadubovsky and A. V. Klimchuk},
  journal= {arXiv preprint arXiv:math/0310472},
  year   = {2011}
}

Comments

13 pages, 3 figures