Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the rank of a space

Author: Christopher Allday
Journal: Trans. Amer. Math. Soc. 166 (1972), 173-185
MSC: Primary 55C10
MathSciNet review: 0292071
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The rank of a space is defined as the dimension of the highest dimensional torus which can act almost-freely on the space. (By an almost-free action is meant one for which all the isotropy subgroups are finite.) This definition is shown to extend the classical definition of the rank of a Lie group. A conjecture giving an upper bound for the rank of a space in terms of its rational homotopy is investigated.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55C10

Retrieve articles in all journals with MSC: 55C10

Additional Information

PII: S 0002-9947(1972)0292071-8
Keywords: Rank, torus group, Borel setting, rational homotopy, Postnikov resolution
Article copyright: © Copyright 1972 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia