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arXiv · 1705.01611

Diamonds, Compactness, and Measure Sequences

Omer Ben-Neria
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Abstract

We establish the consistency of the failure of the diamond principle on a cardinal $\kappa$ which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of $\kappa$ in a Radin generic extension.

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Omer Ben-Neria. 2017-05-03. Diamonds, Compactness, and Measure Sequences. https://arxiv.org/abs/1705.01611

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