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