Rational toral ranks in certain algebras

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.

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Bibliographic Details
Main Authors: Yasusuke Kotani, Toshihiro Yamaguchi
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204403421
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author Yasusuke Kotani
Toshihiro Yamaguchi
author_facet Yasusuke Kotani
Toshihiro Yamaguchi
author_sort Yasusuke Kotani
collection DOAJ
description 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.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2004-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2eeb39f2cc6143f0840e53afe3643b342025-02-03T01:07:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004693765377410.1155/S0161171204403421Rational toral ranks in certain algebrasYasusuke Kotani0Toshihiro Yamaguchi1Department of Mathematics, Faculty of Science, Kochi University, Kochi 780-8520, JapanDepartment of Mathematics Education, Faculty of Education, Kochi University, Kochi 780-8520, JapanWe 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.http://dx.doi.org/10.1155/S0161171204403421
spellingShingle Yasusuke Kotani
Toshihiro Yamaguchi
Rational toral ranks in certain algebras
International Journal of Mathematics and Mathematical Sciences
title Rational toral ranks in certain algebras
title_full Rational toral ranks in certain algebras
title_fullStr Rational toral ranks in certain algebras
title_full_unstemmed Rational toral ranks in certain algebras
title_short Rational toral ranks in certain algebras
title_sort rational toral ranks in certain algebras
url http://dx.doi.org/10.1155/S0161171204403421
work_keys_str_mv AT yasusukekotani rationaltoralranksincertainalgebras
AT toshihiroyamaguchi rationaltoralranksincertainalgebras