| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661822 | Annals of Pure and Applied Logic | 2014 | 15 Pages |
Abstract
We study the Mathias-Prikry and Laver-Prikry forcings associated with filters on Ï. We give a combinatorial characterization of Martinʼs number for these forcing notions and present a general scheme for analyzing preservation properties for them. In particular, we give a combinatorial characterization of those filters for which the Mathias-Prikry forcing does not add a dominating real.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Michael HruÅ¡ák, Hiroaki Minami,