Rational toral ranks in certain algebras
type: Item
instance of: scholarly article
title: Rational toral ranks in certain algebras
zbMATH Open document ID: 1068.55012
DOI: 10.1155/S0161171204403421
author: Yasusuke Kotani
author: Toshihiro Yamaguchi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/51524
review text: The rational toral rank of a simply connected space \(X\) is the largest integer \(r\) such that the \(r\)-torus can act continuously on a CW-complex \(Y\) such that \(X\simeq_{\mathbb{Q}} Y\). By definition, the toral rank is a rational homotopy invariant. The purpose of this paper is to prove that it is not a cohomology invariant. Some relevant questions are indicated.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 57S99
zbMATH DE Number: 2171816
zbMATH Keywords: toral rank
zbMATH Keywords: formal space
reviewed by: Jean-Claude Thomas
MaRDI profile type: Publication
OpenAlex ID: W2103385422
description: scientific article; zbMATH DE number 2171816