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Epsilon Nielsen fixed point theory

Abstract

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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Correspondence to Robert F Brown.

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Brown, R.F. Epsilon Nielsen fixed point theory. Fixed Point Theory Appl 2006, 29470 (2006). https://doi.org/10.1155/FPTA/2006/29470

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Keywords

  • Differential Geometry
  • Point Theory
  • Computational Biology
  • Fixed Point Theory
  • Nielsen Fixed Point Theory