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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
Abstract
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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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