TY - JOUR
ID - 1363
TI - ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Mohareri, Mojtaba
AU - Mashayekhi, Behrooz
AU - Mirebrahimi, Hanieh
AD - Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic
Structures, Ferdowsi University of Mashhad, P.O. Box: 1159-91775, Mashhad, Iran.
Y1 - 2019
PY - 2019
VL - 6
IS - 2
SP - 131
EP - 146
KW - Homotopy domination
KW - Homotopy type
KW - Eilenberg--MacLane space
KW - Moore space
KW - CW-complex
DO - 10.22044/jas.2018.6312.1313
N2 - K. 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 ofcompacta. 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.
UR - https://jas.shahroodut.ac.ir/article_1363.html
L1 - https://jas.shahroodut.ac.ir/article_1363_3d67b550b07ed03fc140c47289cd076b.pdf
ER -