A. Rinot

most citedThe Ostaszewski square, and homogenous Souslin trees

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math.LO2011★ 1 cited

The Ostaszewski square, and homogenous Souslin trees

Assaf Rinot

Assume GCH and let $λ$ denote an uncountable cardinal. We prove that if $□_{λ}$ holds, then this may be witnessed by a coherent sequence $< C_{α} ∣ α < λ^{+} >$ with the following re…

math.LO2011

Transforming Rectangles into Squares, with Applications to Strong Colorings

Assaf Rinot

It is proved that every singular cardinal $λ$ admits a function $R T S : [λ^{+}]^{2} \to [λ^{+}]^{2}$ that transforms rectangles into squares. Namely, for every cofinal subsets $A, B$ of…

math.LO2006

Antichains in partially ordered sets of singular cofinality

Assaf Rinot

In their paper from 1981, Milner and Sauer conjectured that for any poset P, if cf(P)=lambda>cf(lambda)=kappa, then P must contain an antichain of size kappa. We prove that for lam…