5 papers · 1 filter
Higher Independence
Vera Fischer, Diana Carolina Montoya
We study higher analogues of the classical independence number on . For regular uncountable, we denote by the minimal size of a maximal -independent family. We est…
Towers and gaps at uncountable cardinals
Vera Fischer, Diana Carolina Montoya, Jonathan Schilhan +1
Our goal is to study the pseudo-intersection and tower numbers on uncountable regular cardinals, whether these two cardinal characteristics are necessarily equal, and related probl…
Cichon's Diagram for uncountable cardinals
Joerg Brendle, Andrew Brooke-Taylor, Sy-David Friedman +1
We develop a version of Cichon's diagram for cardinal invariants on the generalized Cantor space 2^kappa or the generalized Baire space kappa^kappa where kappa is an uncountable re…
Coherent systems of finite support iterations
Vera Fischer, Sy D. Friedman, Diego A. Mejía +1
We introduce a forcing technique to construct three-dimensional arrays of generic extensions through FS (finite support) iterations of ccc posets, which we refer to as 3D-coherent…
Cardinal characteristics at κ in a small u(κ) model
A. D. Brooke-Taylor, V. Fischer, S. D. Friedman +1
We provide a model where u(κ) < 2^κ for a supercompact cardinal κ. Garti and Shelah have provided a sketch of how to obtain such a model by modifying the construction in a paper of…