English

On fresh sets in iterations of Prikry type forcing notions

Logic 2024-03-05 v1

Abstract

We examine the existence (and mostly non-existence) of fresh sets in commonly used iterations of Prikry type forcing notions. Results of [4] are generalized. As an application, a question of a referee of [9] is answered. In addition stationary sets preservation is addressed.

Keywords

Cite

@article{arxiv.2403.01617,
  title  = {On fresh sets in iterations of Prikry type forcing notions},
  author = {Moti Gitik and Eyal Kaplan},
  journal= {arXiv preprint arXiv:2403.01617},
  year   = {2024}
}