Antichains in partially ordered sets of singular cofinality
نویسندگان
چکیده
منابع مشابه
Antichains in partially ordered sets of singular cofinality
In their paper from 1981, Milner and Sauer conjectured that for any poset 〈P,≤〉, if cf(P,≤) = λ > cf(λ) = κ, then P must contain an antichain of size κ. We prove that for λ > cf(λ) = κ, if there exists a cardinal μ < λ such that cov(λ, μ, κ, 2) = λ, then any poset of cofinality λ contains λ antichains of size κ. The hypothesis of our theorem is very weak and is a consequence of many well-known ...
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ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2007
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-007-0049-z