English

Consistency of partition relation for cardinal in (lambda,2^lambda)

Logic 2007-05-23 v1

Abstract

We present a forcing for blowing up 2^lambda and making ``many positive polarized partition relations'' (in a sense made precise in (c) of our main theorem) hold in the interval [lambda, 2^lambda]. This generalizes results of [276], Section 1, and the forcing is a ``many cardinals'' version of the forcing there.

Keywords

Cite

@article{arxiv.math/9710216,
  title  = {Consistency of partition relation for cardinal in (lambda,2^lambda)},
  author = {Saharon Shelah and Lee Stanley},
  journal= {arXiv preprint arXiv:math/9710216},
  year   = {2007}
}