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Bibliographic Details
Main Author: Levine, Maxwell
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.03487
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author Levine, Maxwell
author_facet Levine, Maxwell
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_03487
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Namba Forcing and Minimal Collapses
Levine, Maxwell
Logic
03E10, 03E35, 03E55
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.
title On Namba Forcing and Minimal Collapses
topic Logic
03E10, 03E35, 03E55
url https://arxiv.org/abs/2408.03487