The capacity of some classes of polyhedra

Year 2020, Volume: 49 Issue: 1, 96 - 105, 06.02.2020

Mojtaba Mohareri Behrooz Mashayekhy Hanieh Mirebrahimi

https://doi.org/10.15672/HJMS.2019.665

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

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