Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4662525 | Annals of Pure and Applied Logic | 2006 | 12 Pages |
Abstract
We discuss a dual of the Open Coloring Axiom introduced by Abraham et al. [U. Abraham, M. Rubin, S. Shelah, On the consistency of some partition theorems for continuous colorings, and the structure of ℵ1-dense real order types, Ann. Pure Appl. Logic 29 (2) (1985) 123–206] and show that it follows from a statement about continuous colorings on Polish spaces that is known to be consistent. We mention some consequences of the new axiom and show that implies that all cardinal invariants in Cichoń’s diagram are at least ℵ2.
Related Topics
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Mathematics
Logic