The Capacity of Some Classes of Polyhedra

2017/08/15 by Mojtaba Mohareri, Mohareri, Mojtaba, Behrooz Mashayekhy +3
Mathematics · #54E30 #55P15 #55P20 #55P55 #55Q20 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:54E30 #msc:55P15 #msc:55P20 #msc:55P55 #msc:55Q20

paper · pdf · doi:10.48550/arxiv.1708.04509

14 pages

arxiv created 2017/08/15 · arxiv updated 2017/08/16

Abstract

K. Borsuk in 1979, in the Topological Conference in Moscow, introduced the concept of the capacity of a compactum. In this paper, we compute the capacity of the product of two spheres of the same or different dimensions and the capacity of lense spaces. Also, we present an upper bound for the capacity of a ℤ_n-complex, i.e., a connected finite 2-dimensional CW-complex with finite cyclic fundamental group ℤ_n.

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