Coincidence theory for manifolds with boundary
type: Item
instance of: scholarly article
title: Coincidence theory for manifolds with boundary
zbMATH Open document ID: 0757.55003
DOI: 10.1016/0166-8641(92)90037-Z
published in: Topology and its Applications
publication date: 1992-09-27T00:00:00Z
review text: Let \(M\) and \(N\) be compact, connected, oriented manifolds of the same dimension with boundaries \(\partial M\), \(\partial N\), respectively. Let \(F,G:M\to N\) be maps such that \(G(\partial M)\subseteq\partial N\). If the Lefschetz number, \(\Lambda(F,G)\), defined by the author, is nonzero, then \(F\) and \(G\) have a coincidence point. When both maps preserve boundary points, the author obtains, for a class of differentiable maps, a formula for the algebraic number of coincidences which lie in the interior of \(M\).
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 62951
zbMATH Keywords: Lefschetz number
zbMATH Keywords: coincidence point
author: Kalyan K. Mukherjea
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 62951