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Partition Relations for Strongly Normal Ideals on P κ ( λ )
Author(s) -
Matet Pierre
Publication year - 2000
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/(sici)1521-3870(200001)46:1<87::aid-malq87>3.0.co;2-v
Subject(s) - mathematics , ideal (ethics) , partition (number theory) , zhàng , carr , combinatorics , humanities , calculus (dental) , pure mathematics , epistemology , philosophy , law , ecology , political science , china , biology , medicine , dentistry
Building upon earlier work of Donna Carr, Don Pelletier, Chris Johnson, Shu‐Guo Zhang and others, we show that a normal ideal J on P κ ( λ ) is strongly normal if and only if J + →< ( J + , μ ) 2 for every μ < κ , and we describe the least normal ideal J on P κ ( λ ) such that J + →< ( J + , κ ) 2 .

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