Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-27T18:30:17.860Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

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.)

References

1Adams, J. F. and Mahmud, Z.. Maps between classifying spaces. Invent. Math. 35 (1976), 1–41.Google Scholar
2Adams, J. F. and Wojkowiak, Z.. Maps between p-completed classifying spaces. Proc. Roy. Soc. Edinburgh, Sect A 112, 1989, 231–235.CrossRefGoogle Scholar
3Dwyer, W. and Zabrodsky, A.. Maps between classifying spaces. In Algebraic Topology, Barcelona 1986, Lecture Notes in Mathematics 1298, pp. 106–119 (Berlin: Springer, 1987).Google Scholar
4Wilkerson, C.. Lambda-rings, binomial domains, and vector bundles over CP(∞). Comm. Algebra 10(3) (1982), 311–328.Google Scholar
5Wojtkowiak, Z.. Maps from Bπ into X. Quart. J. Math. Oxford (2) 39 (1988), 117–127.CrossRefGoogle Scholar
6Wojtkowiak, Z.. A remark on maps between classifying spaces of compact Lie groups, Canad. Math. Bull. 31(4) (1988), 452–458.CrossRefGoogle Scholar