Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 13, Number 2 (1999), 313-340.
A fixed point index for equivariant maps
The 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.
Topol. Methods Nonlinear Anal., Volume 13, Number 2 (1999), 313-340.
First available in Project Euclid: 29 September 2016
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Ferrario, Davide L. A fixed point index for equivariant maps. Topol. Methods Nonlinear Anal. 13 (1999), no. 2, 313--340. https://projecteuclid.org/euclid.tmna/1475178885