Equivariant Nielsen fixed point theory
Keywords
Equivariant fixed point theory, Nielsen fixed point theory, G-mapAbstract
We 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.Downloads
Published
2010-04-23
How to Cite
1.
BETTER, Joel. Equivariant Nielsen fixed point theory. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 36, no. 1, pp. 179 - 195. [Accessed 26 September 2024].
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