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September 2008 Aronszajn lines and the club filter
Justin Tatch Moore
J. Symbolic Logic 73(3): 1029-1035 (September 2008). DOI: 10.2178/jsl/1230396763

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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Justin Tatch Moore. "Aronszajn lines and the club filter." J. Symbolic Logic 73 (3) 1029 - 1035, September 2008. https://doi.org/10.2178/jsl/1230396763

Information

Published: September 2008
First available in Project Euclid: 27 December 2008

zbMATH: 1165.03030
MathSciNet: MR2444284
Digital Object Identifier: 10.2178/jsl/1230396763

Subjects:
Primary: 03E05, 03E35

Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 3 • September 2008
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