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## The capacity of some classes of polyhedra

#### Mojtaba MOHARERİ [1] , Behrooz MASHAYEKHY [2] , Hanieh MİREBRAHİMİ [3]

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 $\mathbb{Z}_n$.
homotopy domination, homotopy type, Moore space, polyhedron, CW-complex, compactum
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-6725-2160Author: Mojtaba MOHARERİ Institution: Ferdowsi University of MashhadCountry: Iran Orcid: 0000-0001-5243-0641Author: Behrooz MASHAYEKHY Institution: Ferdowsi University of MashhadCountry: Iran Orcid: 0000-0002-4212-9465Author: Hanieh MİREBRAHİMİ Institution: Ferdowsi University of MashhadCountry: Iran Publication Date : February 6, 2020
 Bibtex @research article { hujms535182, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {96 - 105}, doi = {10.15672/HJMS.2019.665}, title = {The capacity of some classes of polyhedra}, key = {cite}, author = {MOHARERİ, Mojtaba and MASHAYEKHY, Behrooz and MİREBRAHİMİ, Hanieh} } APA MOHARERİ, M , MASHAYEKHY, B , MİREBRAHİMİ, H . (2020). The capacity of some classes of polyhedra. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 96-105 . DOI: 10.15672/HJMS.2019.665 MLA MOHARERİ, M , MASHAYEKHY, B , MİREBRAHİMİ, H . "The capacity of some classes of polyhedra". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 96-105 Chicago MOHARERİ, M , MASHAYEKHY, B , MİREBRAHİMİ, H . "The capacity of some classes of polyhedra". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 96-105 RIS TY - JOUR T1 - The capacity of some classes of polyhedra AU - Mojtaba MOHARERİ , Behrooz MASHAYEKHY , Hanieh MİREBRAHİMİ Y1 - 2020 PY - 2020 N1 - doi: 10.15672/HJMS.2019.665 DO - 10.15672/HJMS.2019.665 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 96 EP - 105 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/HJMS.2019.665 UR - https://doi.org/10.15672/HJMS.2019.665 Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics The capacity of some classes of polyhedra %A Mojtaba MOHARERİ , Behrooz MASHAYEKHY , Hanieh MİREBRAHİMİ %T The capacity of some classes of polyhedra %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/HJMS.2019.665 %U 10.15672/HJMS.2019.665 ISNAD MOHARERİ, Mojtaba , MASHAYEKHY, Behrooz , MİREBRAHİMİ, Hanieh . "The capacity of some classes of polyhedra". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 96-105 . https://doi.org/10.15672/HJMS.2019.665 AMA MOHARERİ M , MASHAYEKHY B , MİREBRAHİMİ H . The capacity of some classes of polyhedra. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 96-105. Vancouver MOHARERİ M , MASHAYEKHY B , MİREBRAHİMİ H . The capacity of some classes of polyhedra. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 105-96.

Authors of the Article
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[2]
[3]