English

A note on iterating strongly $(<\lambda)$-closed stationary $\lambda^+$-cc forcing

Logic 2026-04-14 v1

Abstract

We give an exposition of an iteration theorem for iterating (<λ)(<\lambda)-closed stationary λ+\lambda^+-cc forcing with supports of size <λ<\lambda and preserving these two properties. We discuss the relation of this theorem with other iteration theorems and forcing axioms that have appeared in the literature, notably the one from \cite{Sh80}.

Keywords

Cite

@article{arxiv.2604.10713,
  title  = {A note on iterating strongly $(<\lambda)$-closed stationary $\lambda^+$-cc forcing},
  author = {Mirna Džamonja},
  journal= {arXiv preprint arXiv:2604.10713},
  year   = {2026}
}