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

2003/10/30 by A. A. Kadubovsky, Kadubovsky, A. A., A. V. Klimchuk +1
Computer Science · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #math.CO #math.GT #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0310472

13 pages, 3 figures

openalex publication_date 2003/10/30 · arxiv created 2003/10/31 · arxiv updated 2011/11/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

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