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Pseudo-immersions of oriented surfaces with one boundary component into the plane

Published online by Cambridge University Press:  04 November 2009

Minoru Yamamoto
Minoru Yamamoto
Affiliation:
Department of Science, Kurume National College of Technology, Komorino 1-1-1, Kurume City, Fukuoka 830–8555, Japan, ([email protected])
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Abstract

Let M be a compact connected oriented surface with exactly one boundary component. A pseudo-immersion of M into the plane is a smooth map such that it has only fold singularities and is an orientation-preserving immersion near the boundary of M. For a pseudo-immersion we study the relation between the winding number of the boundary curve and the number of the singular set components.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1327 - 1335
Copyright
Copyright © Royal Society of Edinburgh 2009

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