Shahrood University of TechnologyJournal of Algebraic Systems2345-51286220190101ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES131146136310.22044/jas.2018.6312.1313ENMojtaba MohareriDepartment of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.Behrooz MashayekhiDepartment of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.0000-0001-5243-0641Hanieh MirebrahimiDepartment of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.Journal Article20171014K. Borsuk in 1979, at the Topological Conference in Moscow, introduced concept of the capacity of a compactum and asked some questions concerning properties of the capacity of<br />compacta. In this paper, we give partial positive answers to three of these questions in some cases. In fact, by describing spaces homotopy dominated by Moore and Eilenberg-MacLane spaces, the capacities of a Moore space $M(A,n)$ and an Eilenberg-MacLane space $K(G,n)$ could be obtained. Also, we compute the capacity of wedge sum of finitely many Moore spaces of different degrees and the capacity of product of finitely many Eilenberg-MacLane spaces of different homotopy types. In particular, we compute the capacity of wedge sum of finitely many spheres of the same or different dimensions.<br /><br />https://jas.shahroodut.ac.ir/article_1363_3d67b550b07ed03fc140c47289cd076b.pdf