Research Article | Open | Published:
Epsilon Nielsen fixed point theory
Fixed Point Theory and Applicationsvolume 2006, Article number: 29470 (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.
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