Group of Self-Equivalences of Sum Object

In general category, the group of self-equivalences of sum object can decompose as the product of its two subgroups under certain conditions and also several split short exact sequences are obtained. Subsequently, we apply the above results to the category of space under a space and get some results...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2007-12, Vol.23 (12), p.2145-2154
Main Authors: Zhao, Hao, Shen, Wen Huai
Format: Article
Language:English
Subjects:
Algebraic group theory
Categories
Decomposition
Studies
Subgroups
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Summary:In general category, the group of self-equivalences of sum object can decompose as the product of its two subgroups under certain conditions and also several split short exact sequences are obtained. Subsequently, we apply the above results to the category of space under a space and get some results which are dual to those in fibrewise category.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-007-0992-y