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arXiv · 1610.08620

Weak prediction principles

Omer Ben-Neria·Shimon Garti·Yair Hayut
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Abstract

We prove the consistency of the failure of the weak diamond $\Phi_\lambda$ at strongly inaccessible cardinals. On the other hand, we show that the very weak diamond $\Psi_\lambda$ is equivalent to the statement $2^{<\lambda}<2^\lambda$ and hence holds at every strongly inaccessible cardinal.

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Omer Ben-Neria, Shimon Garti, Yair Hayut. 2016-10-27. Weak prediction principles. https://doi.org/10.4064/fm576-6-2018

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