On the rank of a space-Reference-Cited by-同舟云学术

On the rank of a space

Published:1972 Issue:0 Volume:166 Page:173-185
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Allday Christopher

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-166-00/S0002-9947-1972-0292071-8/S0002-9947-1972-0292071-8.pdf

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3. Cohomological aspects of transformation groups;Bredon, Glen E.,1968

4. A cohomological definition of dimension for locally compact Hausdorff spaces;Cohen, Haskell;Duke Math. J.,1954

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