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A topological central point theorem
Authors:Roman N. Karasev
Affiliation:a Dept. of Mathematics, Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny 141700, Russia
b Laboratory of Discrete and Computational Geometry, Yaroslavl? State University, Sovetskaya st. 14, Yaroslavl? 150000, Russia
Abstract:In this paper a generalized topological central point theorem is proved for maps of a simplex to finite-dimensional metric spaces. Similar generalizations of the Tverberg theorem are considered.
Keywords:52A35   52C35   55M35
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