On Sacks forcing and the Sacks property
Conference paper
In this survey we explain the general idea of forcing, present Sacks forcing with some of its properties, give an overview of closely related forcing notions, and investigate the influence of some combinatorial principles to the question whether a c.c.c. forcing notion can have the Sacks property. Moreover, we discuss the iterated Sacks model, which is the standard model of set theory in which the Continuum Hypothesis fails, but where all other reasonably defined cardinal characteristics of the continuum have the minimal possible value. We also discuss the countable support side-by-side product of Sacks forcing.
Keywords
Ground Model Continuum Hypothesis Countable Support Force Notion Fusion Sequence
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
Copyright information
© Kluwer Academic Publishers 2004