Parametrized $\diamondsuit$ principles

Justin Tatch Moore; Michael Hrušák; Mirna Džamonja

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Parametrized $\diamondsuit$ principles

Justin Tatch Moore·Michael Hrušák·Mirna Džamonja

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Abstract

We will present a collection of guessing principles which have a similar relationship to $\diamond$ as cardinal invariants of the continuum have to $\CH$. The purpose is to provide a means for systematically analyzing $\diamond$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of $\CH$ and $\diamond$ in models such as those of Laver, Miller, and Sacks.

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BibTeX RIS

Justin Tatch Moore, Michael Hrušák, Mirna Džamonja. 2006-08-25. Parametrized $\diamondsuit$ principles. https://arxiv.org/abs/math/0608641

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