International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 69, Pages 3765-3774
Rational toral ranks in certain algebras
1Department of Mathematics, Faculty of Science, Kochi University, Kochi 780-8520, Japan
2Department of Mathematics Education, Faculty of Education, Kochi University, Kochi 780-8520, Japan
Received 24 March 2004; Revised 17 September 2004
Copyright © 2004 Yasusuke Kotani and Toshihiro Yamaguchi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We calculate the rational toral ranks of two spaces
whose cohomologies are isomorphic and note that rational toral
rank is a rational homotopy invariant but not a cohomology invariant.