Volume 15, issue 4 (2015)

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

Volume 18
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Resolving rational cohomological dimension via a Cantor group action

Michael Levin

Algebraic & Geometric Topology 15 (2015) 2427–2437
Abstract

By a Cantor group we mean a topological group homeomorphic to the Cantor set. We show that a compact metric space of rational cohomological dimension n can be obtained as the orbit space of a Cantor group action on a metric compact space of covering dimension n. Moreover, the action can be assumed to be free if n = 1.

Keywords
cohomological dimension, transformation groups
Mathematical Subject Classification 2000
Primary: 55M10, 22C05
Secondary: 54F45
References
Publication
Received: 18 August 2014
Revised: 3 November 2014
Accepted: 25 November 2014
Published: 10 September 2015
Authors
Michael Levin
Department of Mathematics
Ben Gurion University of the Negev
PO Box 653
Be’er Sheva 84105
Israel