Equivariant Nielsen fixed point theory
KeywordsEquivariant fixed point theory, Nielsen fixed point theory, G-map
AbstractWe provide an alternative approach to the equivariant Nielsen fixed point theory developed by P. Wong in [< i> Equivariant Nielsen numbers< /i> , Pacific J. Math. < b> 159< /b> (1993), 153–175] by associating an abstract simplicial complex to any $G$-map and defining two $G$-homotopy invariants that are lower bounds for the number of fixed points and orbits in the $G$-homotopy class of a given $G$-map in terms of this complex. We develop a relative equivariant Nielsen fixed point theory along the lines above and prove a minimality result for the Nielsen-type numbers introduced in this setting.
How to Cite
BETTER, Joel. Equivariant Nielsen fixed point theory. Topological Methods in Nonlinear Analysis [online]. 23 April 2010, T. 36, nr 1, s. 179–195. [accessed 1.2.2023].
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