The capacity of some classes of polyhedra

Authors : Mojtaba MOHARERİ, Behrooz MASHAYEKHY, Hanieh MİREBRAHİMİ

Pages : 96-105

Doi:10.15672/HJMS.2019.665

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Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :K. Borsuk in 1979, in 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  $\mathbb{Z}_n$-complex, i.e.,  a connected finite 2-dimensional CW-complex with finite cyclic fundamental group $\mathbb{Z}_n$.
Keywords : homotopy domination, homotopy type, Moore space, polyhedron, CW complex, compactum