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The least number of coincidence points on surfaces

Part of: Differential topology Classical Topics in Algebraic Topology

Published online by Cambridge University Press:  09 April 2009

Jerzy Jezierski
Jerzy Jezierski
Affiliation:
Department of Mathematics, University of Agriculture, Nowoursynowska 166, 02 766 Warsaw, Poland
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Abstract

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Bo Ju Jiang introduced an invariant lying in the braid group which is the best lower bound of the number of fixed points in a homotopy class of a given pair of self maps of a surface. Here we modify this construction to get a lower bound of the number of coincidence points of a pair of maps between two closed surfaces.

MSC classification

Secondary: 55M20: Fixed points and coincidences 57R99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 58 , Issue 1 , February 1995 , pp. 27 - 38
Copyright
Copyright © Australian Mathematical Society 1995

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