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

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.