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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

The capacity of some classes of polyhedra

Mojtaba Mohareri(Ferdowsi University of Mashhad)0000-0002-6725-2160
Behrooz Mashayekhy(Ferdowsi University of Mashhad)0000-0001-5243-0641
Hanieh Mirebrahimi(Ferdowsi University of Mashhad)0000-0002-4212-9465
Pages
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Publication Date
2020-02-06
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 $\mathbb{Z}_n$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Borsuk in 1979, in Topological Conference in Moscow, introduced the concept of the capacity of a compactum.
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Key Findings & Data: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.
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Conclusion & Impact: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 $\mathbb{Z}_n$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:homotopy domination · homotopy type · Moore space

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 $\mathbb{Z}_n$.

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Cite This Article

Mohareri, M., Mashayekhy, B., Mirebrahimi, H. (2020). The capacity of some classes of polyhedra. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/HJMS.2019.665

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