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

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

Full description

Saved in:
Bibliographic Details
Main Authors Kadubovsky, A. A, Klimchuk, A. V
Format Journal Article
LanguageEnglish
Published 30.10.2003
Subjects
Mathematics - Combinatorics
Mathematics - Geometric Topology
Online AccessGet full text

Cover

More Information
Summary:By means of color chord diagrams we establish a necessary and sufficient condition for $O$-topological equivalence of functions with one essentially critical point on oriented surfaces with edge. We also calculate the number of $O$-topologically non-equivalent functions with one essentially critical point on oriented surfaces with edge.
DOI:10.48550/arxiv.math/0310472