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September 2008 Weak square bracket relations for Pκ (λ)
Pierre Matet
J. Symbolic Logic 73(3): 729-751 (September 2008). DOI: 10.2178/jsl/1230396744

Abstract

We study the partition relation X →w [Y]p2 that is a weakening of the usual partition relation X → [Y]ρ2. Our main result asserts that if κ is an uncountable strongly compact cardinal and 𝔡κ≤λ < κ, then Iκ,λ+w [Iκ,λ+]λ< κ2 does not hold.

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Pierre Matet. "Weak square bracket relations for Pκ (λ)." J. Symbolic Logic 73 (3) 729 - 751, September 2008. https://doi.org/10.2178/jsl/1230396744

Information

Published: September 2008
First available in Project Euclid: 27 December 2008

zbMATH: 1177.03047
MathSciNet: MR2444265
Digital Object Identifier: 10.2178/jsl/1230396744

Subjects:
Primary: 03E02, 03E55

Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 3 • September 2008
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