Configuration-like spaces and coincidences of maps on orbits
Algebraic Topology
2014-10-01 v3
Abstract
In this paper we study the spaces of -tuples of points in a Euclidean space, without -wise coincidences (configuration-like spaces). A transitive group action by permuting these points is considered, and some new upper bounds on the genus (in the sense of Krasnosel'skii--Schwarz and Clapp--Puppe) for this action are given. Some theorems of Cohen--Lusk type for coincidence points of continuous maps to Euclidean spaces are deduced.
Keywords
Cite
@article{arxiv.0911.4338,
title = {Configuration-like spaces and coincidences of maps on orbits},
author = {R. N. Karasev and A. Yu. Volovikov},
journal= {arXiv preprint arXiv:0911.4338},
year = {2014}
}