A fixed point index for equivariant maps
Keywords
Nielsen number, equivariant fixed point indexAbstract
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.Downloads
Published
1999-06-01
How to Cite
1.
FERRARIO, Davide L. A fixed point index for equivariant maps. Topological Methods in Nonlinear Analysis. Online. 1 June 1999. Vol. 13, no. 2, pp. 313 - 340. [Accessed 19 April 2024].
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