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arXiv:1312.2064 [math.LO]AbstractReferencesReviewsResources

On countable cofinality of definable chains in Borel partial orders

Vladimir Kanovei

Published 2013-12-07Version 1

We prove that in some cases definable chains of Borel partial orderings are necessarily countably cofinal. This includes the following cases: analytic chains, ROD chains in the Solovay model, and $\Sigma^1_2$ chains in the assumption that $\omega_1^{L[x]}<\omega_1$ for all reals $x$.

Comments: 6 pages
Categories: math.LO
Subjects: 03E15
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