A note on generalized equivariant homotopy groups

• Autorzy: Marek Golasiński , Daciberg L. Gonçalves , Peter N. Wong
• Języki publikacji: EN

Abstrakty

EN

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 Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 55Q91: Equivariant homotopy groups
• 55Q15: Whitehead products and generalizations
• 55Q05: Homotopy groups, general; sets of homotopy classes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 179-185

Daty

wydano

2009

Twórcy

autor

Marek Golasiński

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100, Toruń, Poland
• Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Żołnierska 14, 10-561 Olsztyn, Poland

autor

Daciberg L. Gonçalves

• Dept. de Matemática, IME, Universidade de São Paulo, Caixa Postal 66.281, CEP 05311-970, São Paulo, SP, Brasil

autor

Peter N. Wong

• Department of Mathematics, Bates College, Lewiston, ME 04240, U.S.A.

Identyfikatory

DOI

10.4064/bc85-0-12