Parametrized $\diamondsuit$ principles
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 2006
- DOI:
- 10.48550/arXiv.math/0608641
- arXiv:
- arXiv:math/0608641
- Bibcode:
- 2006math......8641T
- Keywords:
-
- Mathematics - Logic;
- 03E17;
- 03E65
- E-Print:
- Transactions of the American Mathematical Society, vol. 356 (2004), pg. 2281-2306