A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence


Autoria(s): Boero, A. C.; Garcia-Ferreira, S.; Tomita, A. H.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

13/10/2013

13/10/2013

2012

Resumo

We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence. (C) 2011 Elsevier B.V. All rights reserved.

CAPES

CAPES

CNPq (Brazil)

CNPq (Brazil)

CONACYT

CONACYT [81368-F]

PAPIIT

PAPIIT [IN-101508, processo 308467/2007-8]

Identificador

TOPOLOGY AND ITS APPLICATIONS, AMSTERDAM, v. 159, n. 4, Special Issue, supl., Part 3, pp. 1258-1265, 36951, 2012

0166-8641

http://www.producao.usp.br/handle/BDPI/34279

10.1016/j.topol.2011.11.005

http://dx.doi.org/10.1016/j.topol.2011.11.005

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

AMSTERDAM

Relação

TOPOLOGY AND ITS APPLICATIONS

Direitos

closedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #COUNTABLY COMPACT GROUP #FREE ABELIAN GROUP #NON-TRIVIAL CONVERGENT SEQUENCE #TOPOLOGICAL GROUP #MATHEMATICS, APPLIED #MATHEMATICS
Tipo

article

original article

publishedVersion