Work

Ultrafilters in the random real model

Year: 2025
Type: article
Abstract: We prove that P -points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than $\aleph _{\omega } $ -many random reals to a model of CH. These results improve and correct previous theorems that can be found in the literature.
Authors: Osvaldo Guzmán-González, Alan Dow
Language: English
Open Access status: bronze
OpenAlex ID: W4413806405
FWCI: 1.775
Cites: 38
Cited by: 1
Related to: 10