A ccc indestructible construction with CH

Yinhe Peng

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arXiv · 2512.24821

A ccc indestructible construction with CH

Yinhe Peng

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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.

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BibTeX RIS

Yinhe Peng. 2025-12-31. A ccc indestructible construction with CH. https://arxiv.org/abs/2512.24821

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