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Aronszajn lines and the club filter
Published online by Cambridge University Press: 12 March 2014
Abstract
The purpose of this note is to demonstrate that a weak form of club guessing on ω1 implies the existence of an Aronszajn line with no Countryman suborders. An immediate consequence is that the existence of a five element basis for the uncountable linear orders does not follow from the forcing axiom for ω-proper forcings.
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- Copyright © Association for Symbolic Logic 2008
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