Data sets discussed in this paper are presented as tables with rows corresponding to examples (entities, objects) and columns to attributes. A partition triple is defined for such a table as a triple of partitions on the set of examples, the set of attributes, and the set of attribute values, respec
A partition relation for triples using a model of Todorčević
✍ Scribed by E.C. Milner; K. Prikry
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 817 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
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 is a theorem in ZFC.
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