International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 69-72, Pages 3765-3774
doi:10.1155/S0161171204403421
Rational toral ranks in certain algebras
Yasusuke Kotani1
and Toshihiro Yamaguchi2
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
Abstract
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.