English

An interpolation theorem

Logic 2007-05-23 v1

Abstract

Whenever x is a tame cardinal invariant and ZFC+large cardinals proves that x=aleph one implies WCG then ZFC+large cardinals proves that x=aleph one implies b=aleph one, and b=aleph one implies WCG. Here WCG is a certain prediction principle on omega one. This theorem is one of the many possible interpolation theorems of this kind.

Keywords

Cite

@article{arxiv.math/0109027,
  title  = {An interpolation theorem},
  author = {Jindrich Zapletal},
  journal= {arXiv preprint arXiv:math/0109027},
  year   = {2007}
}