English

Small forcing creates neither strong nor Woodin cardinals

Logic 2007-05-23 v1

Abstract

After small forcing, almost every strongness embedding is the lift of a strongness embedding in the ground model. Consequently, small forcing creates neither strong nor Woodin cardinals.

Keywords

Cite

@article{arxiv.math/9808124,
  title  = {Small forcing creates neither strong nor Woodin cardinals},
  author = {Joel David Hamkins and W. Hugh Woodin},
  journal= {arXiv preprint arXiv:math/9808124},
  year   = {2007}
}

Comments

6 pages, submitted to the Proceedings of the AMS