On Namba Forcing and Minimal Collapses
Abstract
We build on a 1990 paper of Bukovsky and Coplakova-Hartova. First, we remove the hypothesis of $\textsf{CH}$ from one of their minimality results. Then, using a measurable cardinal, we show that there is a $|\aleph_2^V|=\aleph_1$-minimal extension that is not a $|\aleph_3^V|=\aleph_1$-extension, answering the first of their questions.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.03487
- arXiv:
- arXiv:2408.03487
- Bibcode:
- 2024arXiv240803487L
- Keywords:
-
- Mathematics - Logic;
- 03E10;
- 03E35;
- 03E55