乘积空间的自同伦等价群的子群

The Subgroups of the Group of Self-homotopy Equivalences of Product Spaces

摘要: 主要研究拓扑空间X,Y的乘积X×Y的自同伦等价群的子群\mathscrE_\#(X\times Y) 与\mathscrE_\Omega(X\times Y)以及它们的p-局部化情形, 得到了相应可裂的短正合序列. 其中p为素数.

Abstract: The subgroups \mathscrE_\#(X\times Y) and \mathscrE_\Omega(X\times Y) of the group of self-homotopy equivalences \mathscrE(X\times Y) as well as their p-localization are studied, and some corresponding short split exact sequences are obtained. where p is a prime.