Prikry Forcing and Tree Prikry Forcing of Various Filters
arXiv:1801.04424 · doi:10.1007/s00153-019-00660-3
Abstract
In this paper, we answer a question asked in "A minimal Prikry type forcing for singularizing a measurable cardinal" regarding a Mathias criteria for Tree-Prikry forcing. Also we will investigate Prikry forcing using various filters. For completeness and self inclusion reasons, we will give proofs of many known theorems.
Revised version