A note on generalized equivariant homotopy groups
Volume 85 / 2009
Banach Center Publications 85 (2009), 179-185
MSC: Primary 55Q05, 55Q15, 55Q91; Secondary 55M20.
DOI: 10.4064/bc85-0-12
Abstract
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.
