Index of a finitistic space and a generalization of the topological central point theorem

2013/05/06 by Satya Deo, Deo, Satya
Mathematics · #05E45 #54D20 #55H15 #55N05 #55T10 #57S15 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:05E45 #msc:54D20 #msc:55H15 #msc:55N05 #msc:55T10 #msc:57S15

paper · pdf · doi:10.48550/arxiv.1305.1178

11 pages

arxiv created 2013/05/06 · openalex publication_date 2013/05/06 · arxiv updated 2013/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that if G is a p-torus (resp. torus) group acting without fixed points on a finitistic space X (resp. with finitely many orbit types), then the G-index i_G(X) < 1. Using this G-index we obtain a generalization of the Central Point Theorem and also of the Tverberg Theorem for any d-dimensional Hausdorff space.

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