A fixed point index for equivariant maps
KeywordsNielsen number, equivariant fixed point index
AbstractThe purpose of the paper is to define a fixed point index for equivariant maps of $G$-ENR's and to state and prove some of its properties, such as the compactly fixed $G$-homotopy property, the Lefschetz property, its converse, and the retraction property. At the end, some examples are given of equivariant self-maps which have a nonzero index (hence cannot be deformed equivariantly to be fixed point free) but have a zero $G$-Nielsen invariant.
How to Cite
FERRARIO, Davide L. A fixed point index for equivariant maps. Topological Methods in Nonlinear Analysis [online]. 1 June 1999, T. 13, nr 2, s. 313–340. [accessed 1.2.2023].
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