Cofinalities of Marczewski-like ideals
Volume 150 / 2017
Colloquium Mathematicum 150 (2017), 269-279
MSC: Primary 03E17; Secondary 03E40, 03E50.
DOI: 10.4064/cm7113-5-2017
Published online: 29 September 2017
Abstract
We show in ZFC that the cofinalities of both the Miller ideal $m^0$ (the $\sigma $-ideal naturally related to Miller forcing ${\mathbb M}$) and the Laver ideal $\ell ^0$ (related to Laver forcing ${\mathbb L}$) are larger than the size ${\mathfrak c}$ of the continuum.
