Galvin's Question on non-σ-Well Ordered Linear Orders

2020/09/18 by Ramandi, Hossein Lamei
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2009.08601

Abstract

Assume C is the class of all linear orders L such that L is not a countable union of well ordered sets, and every uncountable subset of L contains a copy of ω₁. We show it is consistent that C has minimal elements. This answers an old question due to Galvin.

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