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Filters, Cohen sets and consistent extensions of the Erdős-Dushnik-Miller Theorem

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah
Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, USA, E-mail: E-mail:
Lee J. Stanley
Lehigh University, Department of Mathematics, 14 E Packer Avenue, Bethlehem, PA 18015-3174, USA, E-mail:


We present two different types of models where, for certain singular cardinals λ of uncountable cofinality, λ → (λ, ω + 1)2, although λ is not a strong limit cardinal, We announce, here, and will present in a subsequent paper, [7], that, for example, consistently, and consistently, .

Research Article
Copyright © Association for Symbolic Logic 2000

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