Parametrized $\diamondsuit$ principles

Details Parametrized $\diamondsuit$ principles Parametrized $\diamondsuit$ principles

2006-08-25

arxiv.org/abs/math/0608641v1

Transactions of the American Mathematical Society, vol. 356 (2004), pg. 2281-2306

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Scientific paper

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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