A note on generalized equivariant homotopy groups

Marek Golasiński¹, Daciberg L. Gonçalves², Peter N. Wong³
Banach Center Publ. 85 (2009), 179-185
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.

MSC (2000): Primary 55Q05, 55Q15, 55Q91; Secondary 55M20.
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Faculty of Mathematics and Computer Science
Nicolaus Copernicus University
Chopina 12/18
87-100, Toruń, Poland
and
Faculty of Mathematics and Computer Science
University of Warmia and Mazury
Żołnierska 14
10-561 Olsztyn, Poland
,
Dept. de Matemática, IME,
Universidade de São Paulo
Caixa Postal 66.281
CEP 05311-970, São Paulo, SP, Brasil
Department of Mathematics
Bates College
Lewiston, ME 04240, U.S.A.