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Dergiler / 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
Sayfa
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Yayın Tarihi
2020-02-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:Borsuk in 1979, in Topological Conference in Moscow, introduced the concept of the capacity of a compactum.
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Temel Bulgular & Veri: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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Sonuç & Katkı: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 $\mathbb{Z}_n$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (21)

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