We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Realizing homotopy group actions.
- Authors
Blanc, David; Sen, Debasis
- Abstract
For any finite group G, we define the notion of a Bredon homotopy action of G, modelled on the diagram of fixed point sets (XH)H≤G for a G-space X, together with a pointed homotopy action of the group NGH/H on XH/(UH<K XK). We then describe a procedure for constructing a suitable diagram X :OGop Top from this data, by solving a sequence of elementary lifting problems. If successful, we obtain a G-space X' realizing the given homotopy information, determined up to Bredon G-homotopy type. Such lifting methods may also be used to understand other homotopy questions about group actions, such as transferring a G-action along a map f : X → Y.
- Subjects
HOMOTOPY groups; GROUP actions (Mathematics); GROUP theory; HOMOTOPY theory; G-spaces
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014, Vol 21, Issue 4, p685
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1414091009