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Configuration-like
spaces and coincidences of maps on orbits
R N Karasev and A Yu Volovikov |
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Algebraic & Geometric Topology 11 (2011) 1033–1052
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Abstract |
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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
configuration space, coincidence, equivariant topology,
Krasnosel'skii–Schwarz genus
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Mathematical Subject Classification 2000
Primary: 55R80
Secondary: 55M20, 55M30, 55M35, 57S17
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References |
Publication
Received: 30 September 2009
Revised: 4 September 2010
Accepted: 5 October 2010
Published: 30 March 2011
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Authors |
| R N Karasev | |
| Department of Mathematics Moscow Institute of Physics and Technology Institutskiy per. 9 Dolgoprudny Russia 141700 |
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| http://www.rkarasev.ru/en/ | |
| A Yu Volovikov | |
| Department of Mathematics University of Texas at Brownsville 80 Fort Brown Brownsville TX 78520 USA |
Department of Higher
Mathematics Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University) Pr. Vernadskogo 78 Moscow 117454 Russia |
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