Prime ideals on P ω (λ) with the partition property

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Archive for Mathematical Logic 41 (8):743-764 (2002)
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Abstract

We use ideas of Fred Galvin to show that under Martin's axiom, there is a prime ideal on Pω (λ) with the partition property for every \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}.

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10.1007/s001530200140

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Citations of this work

A partition property of a mixed type for P~k(Lambda).Pierre Matet - 2003 - Mathematical Logic Quarterly 49 (6):615.
Weak square bracket relations for P κ (λ).Pierre Matet - 2008 - Journal of Symbolic Logic 73 (3):729-751.

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References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
A combinatorial property of p κλ.Telis K. Menas - 1976 - Journal of Symbolic Logic 41 (1):225-234.
Baire numbers, uncountable Cohen sets and perfect-set forcing.Avner Landver - 1992 - Journal of Symbolic Logic 57 (3):1086-1107.

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