Non Cohen Oracle c.c.c
逻辑
2007-05-23 v1
摘要
The oracle c.c.c. is closely related to Cohen forcing. During an iteration we can ``omit a type''; i.e. preserve ``the intersection of a given family of Borel sets of reals is empty'' provided that Cohen forcing satisfies it. We generalize this to other cases. We replace Cohen by ``nicely'' definable c.c.c., do the parallel of the oracle c.c.c. and end with a criterion for extracting a subforcing (not a complete subforcing) of a given nicely one and satisfying the oracle.
引用
@article{arxiv.math/0303294,
title = {Non Cohen Oracle c.c.c},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/0303294},
year = {2007}
}