The capacity of some classes of polyhedra

被引:0
作者
Mohareri, Mojtaba [1 ]
Mashayekhy, Behrooz [1 ]
Mirebrahimi, Hanieh [1 ]
机构
[1] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159-91775, Mashhad, Razavi Khorasan, Iran
来源
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 01期
关键词
homotopy domination; homotopy type; Moore space; polyhedron; CW-complex; compactum;
D O I
10.15672/HJMS.2019.665
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 Z(n)-complex, i.e., a connected finite 2-dimensional CW-complex with finite cyclic fundamental group Z(n).
引用
收藏
页码:96 / 105
页数:10
相关论文
共 21 条
[11]  
Kodama Y., 1978, GEN TOPOL APPL, V9, P1
[12]   Polyhedra dominating finitely many different homotopy types [J].
Kolodziejczyk, D .
TOPOLOGY AND ITS APPLICATIONS, 2005, 146 :583-592
[13]   Polyhedra with finite fundamental group dominate finitely many different homotopy types [J].
Kolodziejczyk, D .
FUNDAMENTA MATHEMATICAE, 2003, 180 (01) :1-9
[14]  
Kolodziejczyk D, 1996, FUND MATH, V151, P39
[15]  
Mardesic S., 1982, North-Holland Mathematical Library
[16]  
Mather Michael, 1965, TOPOLOGY, V3, P93, DOI 10.1016/0040-9383(65)90050-9
[17]  
Mohareri M., 2019, J ALGEBRAIC SYSTEMS, V6, P131
[18]   The capacity of wedge sum of spheres of different dimensions [J].
Mohareri, Mojtaba ;
Mashayekhy, Behrooz ;
Mirebrahimi, Hanieh .
TOPOLOGY AND ITS APPLICATIONS, 2018, 246 :1-8
[19]   GROUPS OF COHOMOLOGICAL DIMENSION ONE [J].
SWAN, RG .
JOURNAL OF ALGEBRA, 1969, 12 (04) :585-&
[20]   FINITENESS CONDITIONS FOR CW-COMPLEXES [J].
WALL, CTC .
ANNALS OF MATHEMATICS, 1965, 81 (01) :56-&