A note on generalized equivariant homotopy groups

Marek Golasiński; Daciberg L. Gonçalves; Peter N. Wong

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 179-185
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Marek Golasiński, Daciberg L. Gonçalves, and Peter N. Wong. "A note on generalized equivariant homotopy groups." Banach Center Publications 85.1 (2009): 179-185. <http://eudml.org/doc/282074>.

@article{MarekGolasiński2009,
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 Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.},
author = {Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong},
journal = {Banach Center Publications},
keywords = {equivariant maps; Fox torus homotopy groups; generalized Rhodes' groups; homotopy groups of a transformation group},
language = {eng},
number = {1},
pages = {179-185},
title = {A note on generalized equivariant homotopy groups},
url = {http://eudml.org/doc/282074},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Marek Golasiński
AU - Daciberg L. Gonçalves
AU - Peter N. Wong
TI - A note on generalized equivariant homotopy groups
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 179
EP - 185
AB - 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.
LA - eng
KW - equivariant maps; Fox torus homotopy groups; generalized Rhodes' groups; homotopy groups of a transformation group
UR - http://eudml.org/doc/282074
ER -

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