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arXiv · 0911.4338

Configuration-like spaces and coincidences of maps on orbits

R. N. Karasev·A. Yu. Volovikov
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Abstract

In this paper we study the spaces of $q$-tuples of points in a Euclidean space, without $k$-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.

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R. N. Karasev, A. Yu. Volovikov. 2010-11-03. Configuration-like spaces and coincidences of maps on orbits. https://doi.org/10.2140/agt.2011.11.1033

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