Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-24T18:43:01.191Z Has data issue: false hasContentIssue false
  • English
  • Français

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 (damir.franetic@fri.uni-lj.si)
Petar Pavešić
Affiliation:
Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana, Slovenia (petar.pavesic@fmf.uni-lj.si)
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)