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

Mirna Džamonja

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arXiv · 2604.10713

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

Mirna Džamonja

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Abstract

We give an exposition of an iteration theorem for iterating $(<\lambda)$-closed stationary $\lambda^+$-cc forcing with supports of size $<\lambda$ 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}.

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Mirna Džamonja. 2026-04-12. A note on iterating strongly $(<\lambda)$-closed stationary $\lambda^+$-cc forcing. https://arxiv.org/abs/2604.10713

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