Low dimensional homotopy groups of suspensions of the Hawaiian earring

Kazuhiro Kawamura

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Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong (2009)

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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.