Aronszajn lines and the club filter

Journal of Symbolic Logic 73 (3):1029-1035 (2008)
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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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10.2178/jsl/1230396763

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Set mapping reflection.Justin Tatch Moore - 2005 - Journal of Mathematical Logic 5 (1):87-97.

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