Filters, Cohen sets and consistent extensions of the Erdos-Dushnik-Miller theorem

Saharon Shelah*, Lee J. Stanley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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, אω1, (rightwards arrow with stroke) (אω1. ω + 1)3 and consistently. 2א0 (rightwards arrow with stroke) (2א0. ω + 1)2.

Original languageEnglish
Pages (from-to)259-271
Number of pages13
JournalJournal of Symbolic Logic
Volume65
Issue number1
DOIs
StatePublished - Mar 2000

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