Authors: Di Prisco, Carlos
Todorčević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A cardinal defined by a polarized partition relation
Journal: Israel Journal of Mathematics
Volume: 109
First page: 41
Last page: 52
Issue Date: 1-Jan-1999
Rank: M22
ISSN: 0021-2172
DOI: 10.1007/BF02775025
Abstract: 
We study the first cardinal κ satisfying a partition relation defined on the set of finite sequences of smaller ordinals. We show that the fact that this cardinal is אω is equiconsistent with the existence of a measurable cardinal. Under GCH, this cardinal must be inaccessible if it has uncountable cofinality. It is shown that the GCH assumption is necessary here.
Publisher: Springer Link

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