A Polarized Partition Relation Using Elementary Substructures
β Scribed by Albin L. Jones
- Book ID
- 124978713
- Publisher
- Association for Symbolic Logic
- Year
- 2000
- Tongue
- English
- Weight
- 204 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2695060
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π SIMILAR VOLUMES
In this paper we establish a connection between polarized partition relations and the function A q (n, d) of coding theory, which implies some known results and new examples of polarized relations. A connection between A q (n, d) and the Zarankiewicz numbers is also discussed.
TodorceviC has shown that there is a ccc extension .4 in which MA,, + 2" = o2 holds and also in which the partition relation Oi \* (w,, a)\* holds for every denumerable ordinal LY. We show that the partition relation for triples 0,+(02 + 1,4)3 holds in the mode1 Jc1, and hence by absoluteness this i