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H-spaces, semiperfect rings and self-homotopy equivalences

Published online by Cambridge University Press:  15 November 2011

Damir Franetič  and
Petar Pavešić
Damir Franetič
Affiliation:
Fakulteta za Računalništvo in Informatiko, Univerza v Ljubljani, Tržaška 25, 1000 Ljubljana, Slovenia ([email protected])
Petar Pavešić
Affiliation:
Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia ([email protected])
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Abstract

We use the theory of semiperfect rings to derive decomposition theorems for H- and co-H-spaces, generalizing the results of Wilkerson. The results are then used to prove reducibility of self-homotopy equivalences for arbitrary p-local H- and co-H-spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 6 , December 2011 , pp. 1263 - 1277
Copyright
Copyright © Royal Society of Edinburgh 2011

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