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 crit...

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Bibliographic Details
Published inarXiv.org
Main Authors Kadubovsky, A A, Klimchuk, A V
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.10.2003
Subjects
Color
Critical point
Equivalence
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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.
ISSN:2331-8422