English

Parametrized $\diamondsuit$ principles

Logic 2016-08-16 v1

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\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\CH and \diamond in models such as those of Laver, Miller, and Sacks.

Cite

@article{arxiv.math/0608641,
  title  = {Parametrized $\diamondsuit$ principles},
  author = {Justin Tatch Moore and Michael Hrušák and Mirna Džamonja},
  journal= {arXiv preprint arXiv:math/0608641},
  year   = {2016}
}