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A group topology on the real line that makes its square countably compact but not its cube

Full text
Author(s):
Boero, Ana Carolina ; Pereira, Irene Castro ; Tomita, Artur Hideyuki
Total Authors: 3
Document type: Journal article
Source: Topology and its Applications; v. 192, p. 28-pg., 2015-09-01.
Abstract

Under p = c, we show that it is possible to endow the additive group of the real line with a Hausdorff group topology that makes its square countably compact but not its cube. (C) 2015 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 10/19272-2 - Countably compact group topologies on abelian groups
Grantee:Ana Carolina Boero
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 12/01490-9 - Construction of topologies: countably compact topological groups, hyperspaces and selections and others
Grantee:Artur Hideyuki Tomita
Support Opportunities: Regular Research Grants