Abstract
Given $X$ a Jiang space we know that all Nielsen classes have the same index. Now let us consider $X$ a $G$-space where $G$ is a finite group which acts freely on $X$. In [P. Wong, Equivariant Nielsen numbers, Pacific J. Math. l59 (1993), 153–175], we do have the notion of $X$ to be an equivariant Jiang space and under this condition it is true that all equivariant Nielsen classes have the same index. We study the question if the weaker condition of $X$ being just a Jiang space is sufficient for all equivariant Nielsen classes to have the same index. We show a family of spaces where all equivariant Nielsen classes have the same index. In many cases the spaces of such a family are not equivariant Jiang spaces. Finally, we also show an example of one Jiang space together with equivariant maps where the equivariant Nielsen classes have different indices.
Citation
Pedro L. Fagundes. Daciberg L. Gonçalves. "Fixed point indices of equivariant maps of certain Jiang spaces." Topol. Methods Nonlinear Anal. 14 (1) 151 - 158, 1999.
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