INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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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 (2010): Primary 55Q05, 55Q15, 55Q91; Secondary 55M20.
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1. 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
   ,
2. Dept. de Matemática, IME,
   Universidade de São Paulo
   Caixa Postal 66.281
   CEP 05311-970, São Paulo, SP, Brasil
   
3. Department of Mathematics
   Bates College
   Lewiston, ME 04240, U.S.A.
   

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