Volume 20, issue 5 (2016)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Finite approximations of $p$–local compact groups

Alex Gonzalez

Geometry & Topology 20 (2016) 2923–2995
Abstract

We show how every p–local compact group can be described as a telescope of p–local finite groups. As a consequence, we deduce several corollaries, such as a stable elements theorem for the mod p cohomology of their classifying spaces, and a generalized Dwyer–Zabrodsky description of certain related mapping spaces.

Keywords
p-local compact group, p-local finite group, colimit, stable elements, mapping space, classifying space, compact Lie groups
Mathematical Subject Classification 2010
Primary: 20D20, 55R35, 55R40
References
Publication
Received: 3 June 2015
Revised: 4 November 2015
Accepted: 5 December 2015
Published: 7 October 2016
Proposed: Jesper Grodal
Seconded: Haynes Miller, Bill Dwyer
Authors
Alex Gonzalez
Department of Mathematics
Kansas State University
138 Cardwell Hall
Manhattan, KS 66506
United States
http://www.math.ksu.edu/~agondem