G-coincidences for maps of homotopy spheres into CW-complexes

{Let G be a finite group acting freely in a CW-complex \Sigma ^{m} which is a homotopy m-dimensional sphere and let f:\Sigma ^{m} \to Y be a map of \Sigma ^{m} to a finite k-dimensional CW-complex Y. We show that if m\geq \vert G\vert k, then f has an (H,G)-coincidence for some nontrivial subgroup H...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2002-10, Vol.130 (10), p.3111-3115
Main Authors: GONCALVES, Daciberg L, JAWOROWSKI, Jan, PERGHER, Pedro L. Q
Format: Article
Language:English
Subjects:
Algebraic topology
Coincidence
Exact sciences and technology
Homomorphisms
Mathematical theorems
Mathematics
Polyhedrons
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:{Let G be a finite group acting freely in a CW-complex \Sigma ^{m} which is a homotopy m-dimensional sphere and let f:\Sigma ^{m} \to Y be a map of \Sigma ^{m} to a finite k-dimensional CW-complex Y. We show that if m\geq \vert G\vert k, then f has an (H,G)-coincidence for some nontrivial subgroup H of G.}
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-02-06435-3