On countable cofinality and decomposition of definable thin orderingsстатья
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Дата последнего поиска статьи во внешних источниках: 9 декабря 2016 г.
Аннотация:We prove that in some cases definable thin sets (including chains) of Borel partial orderings are necessarily countably cofinal. This includes the following cases: analytic thin sets, ROD thin sets in the Solovay model, and Σ^1_2 thin sets under the assumption that ω^L[x]_1<ω_1 for all reals x. We also prove that definable thin wellorderings admit partitions into definable chains in the Solovay model.