A note on generalized equivariant homotopy groups

Details A note on generalized equivariant homotopy groups A note on generalized equivariant homotopy groups

2007-12-18

arxiv.org/abs/0712.3039v1

Algebraic topology--old and new, 179--185, Banach Center Publ., 85, Polish Acad. Sci. Inst. Math., Warsaw, 2009

Mathematics

Algebraic Topology

9 pages, submitted to Proceedings for Postnikov Memorial Conference

Scientific paper

In this paper, we generalize the equivariant homotopy groups or equivalently
the Rhodes groups. We establish a short exact sequence relating the generalized
Rhodes groups and the generalized Fox homotopy groups and we introduce
$\Gamma$-Rhodes groups, where $\Gamma$ admits a certain co-grouplike structure.
Evaluation subgroups of $\Gamma$-Rhodes groups are discussed.

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