Tag Archives: Poset

On the consistency strength of the Milner-Sauer conjecture

Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset P, if cf(P) is a singular cardinal λ, then P must contain an antichain of size cf(λ). The conjecture is consistent and known … Continue reading

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Antichains in partially ordered sets of singular cofinality

Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset P, if cf(P) is a singular cardinal λ, then P must contain an antichain of size cf(λ). The main result of of this … Continue reading

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