Document Type
Article
Publication Date
2-1-2012
Publication Title
Mathematical Proceedings of The Cambridge Philosophical Society
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.
Repository Citation
Jessup, Barry and Lupton, Gregory, "Free Torus Actions and Two-Stage Spaces" (2012). Mathematics and Statistics Faculty Publications. 191.
https://engagedscholarship.csuohio.edu/scimath_facpub/191
DOI
10.1017/S0305004103007242
Version
Postprint
Publisher's Statement
©2004 Cambridge Philosophical Society. https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/free-torus-actions-and-twostage-spaces/B5C15F497D81563FE42B1CD75CDBA52E
Volume
74
Issue
2
Comments
This research was supported in part by NSERC