Splendid extensions

Shimon Garti

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arXiv · 2607.08352

Splendid extensions

Shimon Garti

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Abstract

Let $\kappa$ be a successor cardinal. We force a universe in which every model of PA of size $\kappa$ extends to a model M of the same size, where M has no splendid extensions. If there is an ineffable cardinal then this statement holds at some cardinal below it, in ZFC.

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Shimon Garti. 2026-07-09. Splendid extensions. https://arxiv.org/abs/2607.08352

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