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A note on generalized equivariant homotopy groups

Tom 85 / 2009

Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong Banach Center Publications 85 (2009), 179-185 MSC: Primary 55Q05, 55Q15, 55Q91; Secondary 55M20. DOI: 10.4064/bc85-0-12

Streszczenie

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.

Autorzy

  • Marek GolasińskiFaculty 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
    e-mail
  • Daciberg L. GonçalvesDept. de Matemática, IME,
    Universidade de São Paulo
    Caixa Postal 66.281
    CEP 05311-970, São Paulo, SP, Brasil
    e-mail
  • Peter N. WongDepartment of Mathematics
    Bates College
    Lewiston, ME 04240, U.S.A.
    e-mail

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