Countable Fréchet Boolean groups: An independence result

Publisher: Cambridge University Press

E-ISSN: 1943-5886|74|3|1061-1068

ISSN: 0022-4812

Source: The Journal of Symbolic Logic, Vol.74, Iss.3, 2009-09, pp. : 1061-1068

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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].