A model with Suslin trees but no minimal uncountable linear orders other than ω1 and −ω1.

Autor:	Soukup, Dániel T.
Zdroj:	Israel Journal of Mathematics; Aug2019, Vol. 233 Issue 1, p199-224, 26p
Abstrakt:	We show that the existence of a Suslin tree does not necessarily imply that there are uncountable minimal linear orders other than ω1 and −ω1, answering a question of J. Baumgartner. This is done by a Jensen-type iteration, proving that one can force CH together with a restricted form of ladder system uniformization on trees, all while preserving a rigid Suslin tree. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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