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Countable Fréchet Boolean groups: An independence result

Published online by Cambridge University Press:  12 March 2014

Jörg Brendle  and
Michael Hrušák
Jörg Brendle
Affiliation:
Graduate School of Engineering, Kobe University, Rokko-Dai 1-1, Nada-Ku, Kobe 657-8501, Japan, E-mail: brendle@kurt.scitec.kobe-u.ac.jp
Michael Hrušák
Affiliation:
Graduate School of Engineering, Kobe University, Rokko-Dai 1-1, Nada-Ku, Kobe 657-8501, Japan, E-mail: brendle@kurt.scitec.kobe-u.ac.jp
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Abstract

It is relatively consistent with ZFC that every countable FUfin space of weight ℵ1 is metrizable. This provides a partial answer to a question of G. Gruenhage and P. Szeptycki [GS1].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 74 , Issue 3 , September 2009 , pp. 1061 - 1068
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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