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  1. Partition relations for κ-normal ideals on Pκ(λ).Pierre Matet - 2003 - Annals of Pure and Applied Logic 121 (1):89-111.
    Using previous work of Baumgartner, Shelah and others, we describe, for each infinite cardinal θκ, the smallest κ-normal ideal J on Pκ such that.
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  • A partition property of a mixed type for P~k(Lambda).Pierre Matet - 2003 - Mathematical Logic Quarterly 49 (6):615.
    Given a regular infinite cardinal κ and a cardinal λ > κ, we study fine ideals H on Pκ that satisfy the square brackets partition relation equation image, where μ is a cardinal ≥2.
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  • Two-cardinal versions of weak compactness: Partitions of pairs.Pierre Matet & Toshimichi Usuba - 2012 - Annals of Pure and Applied Logic 163 (1):1-22.
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  • The nonstationary ideal on P_kappa for lambda singular.Pierre Matet & Saharon Shelah - 2017 - Archive for Mathematical Logic 56 (7-8):911-934.
    We give a new characterization of the nonstationary ideal on \\) in the case when \ is a regular uncountable cardinal and \ a singular strong limit cardinal of cofinality at least \.
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