ON FACTORIZATIONS OF THE SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES

- Journal title : Journal of the Korean Mathematical Society
- Volume 45, Issue 4, 2008, pp.1089-1100
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2008.45.4.1089

Title & Authors

ON FACTORIZATIONS OF THE SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES

Shi, Yi-Yun; Zhao, Hao;

Shi, Yi-Yun; Zhao, Hao;

Abstract

For a pointed space X, the subgroups of self-homotopy equivalences , , and are considered, where is the group of all self-homotopy classes f of X such that for all , is the group of all the above f such that is the group of all self-homotopy classes g of X such that for all , is the group of all the above g such that . We will prove that has two factorizations similar to those of in reference [10], and that , also have factorizations being dual to the former two cases respectively.

Keywords

self-homotopy equivalences;wedge spaces;product spaces;loop spaces;suspension;

Language

English

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