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March 2006 An algorithm for determining the simplicity of (i, j)-curves on a surface
Masahira Homma
Hiroshima Math. J. 36(1): 61-76 (March 2006). DOI: 10.32917/hmj/1147883397

Abstract

Chillingworth found an algorithm for determining whether a given element of the fundamental group of a surface contains simple closed curves. We extend the theory to ‘open’ curves on a punctured surface.

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Masahira Homma. "An algorithm for determining the simplicity of (i, j)-curves on a surface." Hiroshima Math. J. 36 (1) 61 - 76, March 2006. https://doi.org/10.32917/hmj/1147883397

Information

Published: March 2006
First available in Project Euclid: 17 May 2006

zbMATH: 1104.57017
MathSciNet: MR2213644
Digital Object Identifier: 10.32917/hmj/1147883397

Subjects:
Primary: 57R42

Keywords: homotopy , punctured surface , simple closed curve , Simple curve , Winding number

Rights: Copyright © 2006 Hiroshima University, Mathematics Program

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Vol.36 • No. 1 • March 2006
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