A ccc indestructible construction with CH

Yinhe Peng

A ccc indestructible construction with CH

Logic 2026-01-01 v1

Authors: Yinhe Peng

Abstract

We introduce a variant of the Kurepa family. We then use one such family to construct a ccc indestructible property associated with a complete coherent Suslin tree $S$ . Moreover, in every ccc forcing extension that preserves Suslin of $S$ , forcing with $S$ induces a strong negative partition relation.

Cite

@article{arxiv.2512.24821,
  title  = {A ccc indestructible construction with CH},
  author = {Yinhe Peng},
  journal= {arXiv preprint arXiv:2512.24821},
  year   = {2026}
}