Kleinberg sequences and partition cardinals below δ₅¹
Benedikt Löwe (2002)
Fundamenta Mathematicae
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The author computes the Kleinberg sequences derived from the three different normal ultrafilters on δ₃¹.
Displaying similar documents to “Strong sequences and partition relations”
Kleinberg sequences and partition cardinals below δ₅¹
Maximum product over partitions into distinct parts.
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Develin, Mike (2000)
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A note on strong negative partition relations
Todd Eisworth (2009)
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We analyze a natural function definable from a scale at a singular cardinal, and use it to obtain some strong negative square-brackets partition relations at successors of singular cardinals. The proof of our main result makes use of club-guessing, and as a corollary we obtain a fairly easy proof of a difficult result of Shelah connecting weak saturation of a certain club-guessing ideal with strong failures of square-brackets partition relations. We then investigate the strength of weak...
Integer sequences related to compositions without 2's.
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Ramseyan ultrafilters
Lorenz Halbeisen (2001)
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We investigate families of partitions of ω which are related to special coideals, so-called happy families, and give a dual form of Ramsey ultrafilters in terms of partitions. The combinatorial properties of these partition-ultrafilters, which we call Ramseyan ultrafilters, are similar to those of Ramsey ultrafilters. For example it will be shown that dual Mathias forcing restricted to a Ramseyan ultrafilter has the same features as Mathias forcing restricted to a Ramsey ultrafilter....