English

Reasonably complete forcing notions

Logic 2013-01-04 v1

Abstract

We introduce more properties of forcing notions which imply that their lambda-support iterations are lambda-proper, where lambda is an inaccessible cardinal. This paper is a direct continuation of section A.2 of math.LO/0210205. As an application of our iteration result we show that it is consistent that dominating numbers associated with two normal filters on lambda are distinct.

Keywords

Cite

@article{arxiv.math/0508272,
  title  = {Reasonably complete forcing notions},
  author = {Andrzej Roslanowski and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0508272},
  year   = {2013}
}