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Free torus actions and two-stage spaces

Published online by Cambridge University Press:  07 July 2004

BARRY JESSUP  and
GREGORY LUPTON
BARRY JESSUP
Affiliation:
Department of Mathematics, University of Ottawa, Ottawa, Canada K1N 6N5. e-mail: bjessup@uottawa.ca
GREGORY LUPTON
Affiliation:
Department of Mathematics, Cleveland State University, Cleveland OH 44115, U.S.A. e-mail: Lupton@math.csuohio.edu
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Abstract

We prove the toral rank conjecture of Halperin in some new cases. Our results apply to certain elliptic spaces that have a two-stage Sullivan minimal model, and are obtained by combining new lower bounds for the dimension of the cohomology and new upper bounds for the toral rank. The paper concludes with examples and suggestions for future work.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 1 , July 2004 , pp. 191 - 207
Copyright
2004 Cambridge Philosophical Society

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