Vol. 92, No. 2, 1981

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Homotopy dimension of some orbit spaces

Vo Thanh Liem

Vol. 92 (1981), No. 2, 357–363
Abstract

The homotopy dimension of a compact absolute neighborhood retract space X is defined to be the least dimension among all the finite CW-complexes which have the same homotopy type of X. We show that actions of finite groups or actions of tori (with finite orbit types) on a finite-dimensional compact absolute neighborhood retract X do not raise homotopy dimension if the homotopy dimension of X is not two.

Mathematical Subject Classification 2000
Primary: 57S25
Secondary: 57N20, 57S17
Milestones
Received: 30 November 1979
Published: 1 February 1981
Authors
Vo Thanh Liem