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Maps between p-completed classifying spaces II

Published online by Cambridge University Press:  14 November 2011

Zdzisław Wojtkowiak
Zdzisław Wojtkowiak*
Affiliation:
Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26, 5300 Bonn 3, West Germany and Universitat Autònoma de Barcelona, Departament de Matemàtiques, Bellaterra (Barcelona), Spain
*
1The results of this paper grew up in correspondence with Professor J. Frank Adams during the period 1987–1988. These results form chapter 6 of our second thesis presented at Universitat Autònoma de Barcelona. We would like to thank Professor J. Frank Adams for correspondence, suggestions and constant encouragement
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Abstract

We investigate maps between p-completed classifying spaces of compact connected Lie groups. Let G and G′ be two connected compact Lie groups. For a space X, let Xp be a p-completion of X. If p does not divide the order of the Weyl group of G, we give descriptions of the set of homotopy classes [(BG)p, (BG′)p] in terms of K-theory and in terms of “admissible” maps of Adams and Mahmud.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 133 - 137
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

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