Self homotopy groups of Hopf spaces with at most three cells

Self homotopy groups of Hopf spaces with at most three cells
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最多三个单元的 Hopf 空间的自同伦群

DOI:
10.2969/jmsj/05110071
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发表时间:
1999
影响因子:
0.7
通讯作者:
H. Ōshima
H. Ōshima
中科院分区:
数学4区
文献类型:
--
作者:
M. Mimura;H. Ōshima

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.本文证明了:如果X是一个至多有三个正维胞元的连通H -空间,则X的自同伦集是一个相对于X上任意乘法所导出的二元运算的群,并在某些情况下确定了它的群结构.
. We prove that if X is a connected H -space with at most three cells of positive dimension, then the self homotopy set of X becomes a group relative to the binary operation induced from any multiplication on X , and we determine it’s group structure in some cases.