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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