Year: 2024
Type: article
Abstract: We investigate the covering numbers of some ideals on $${^{\omega }}{2}{}$$ ω 2 associated with tree forcings. We prove that the covering of the Sacks ideal remains small in the Silver and uniform Sacks model, respectively, and that the coverings of the uniform Sacks ideal and the Mycielski ideal, $${\mathfrak {C}_{2}}$$ C 2 , remain small in the Sacks model.
Source: Archive for Mathematical Logic
Authors: Jelle Mathis Kuiper, Otmar Spinas
Institution: Christian-Albrechts-Universität zu Kiel
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4401649185