Open Access

Epsilon Nielsen fixed point theory

Fixed Point Theory and Applications20062006:29470

Received: 11 October 2004

Accepted: 21 July 2005

Published: 18 March 2006


Let be a map of a compact, connected Riemannian manifold, with or without boundary. For sufficiently small, we introduce an -Nielsen number that is a lower bound for the number of fixed points of all self-maps of that are -homotopic to . We prove that there is always a map that is -homotopic to such that has exactly fixed points. We describe procedures for calculating for maps of -manifolds.


Authors’ Affiliations

Department of Mathematics, University of California, Los Angeles, USA


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© Robert F. Brown. 2006

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