Mob families and mad families

Archive for Mathematical Logic 37 (3):183-197 (1998)

Abstract
We show the consistency of ${\frak o} <{\frak d}$ where ${\frak o}$ is the size of the smallest off-branch family, and ${\frak d}$ is as usual the dominating number. We also prove the consistency of ${\frak b} < {\frak a}$ with large continuum. Here, ${\frak b}$ is the unbounding number, and ${\frak a}$ is the almost disjointness number
Keywords Legacy
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DOI 10.1007/s001530050091
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Citations of this work BETA

Mad Families, Splitting Families and Large Continuum.Jörg Brendle & Vera Fischer - 2011 - Journal of Symbolic Logic 76 (1):198 - 208.
Mathias–Prikry and Laver–Prikry Type Forcing.Michael Hrušák & Hiroaki Minami - 2014 - Annals of Pure and Applied Logic 165 (3):880-894.
Forcing Indestructibility of MAD Families.Jörg Brendle & Shunsuke Yatabe - 2005 - Annals of Pure and Applied Logic 132 (2):271-312.
Bounding, Splitting, and Almost Disjointness.Jörg Brendle & Dilip Raghavan - 2014 - Annals of Pure and Applied Logic 165 (2):631-651.
Template Iterations with Non-Definable Ccc Forcing Notions.Diego A. Mejía - 2015 - Annals of Pure and Applied Logic 166 (11):1071-1109.

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