Abstract
We prove that the existence of a Dowker filter at κ+, where κ is regular and uncountable, is consistent with 2κ = κ+. We also prove the consistency of a Dowker filter at μ+ where μ > cf(μ) > ω. This can be forced with 2μ = μ+ as well.
| Original language | English |
|---|---|
| Pages (from-to) | 4079-4089 |
| Number of pages | 11 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 148 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2020 |
Bibliographical note
Publisher Copyright:© 2020 American Mathematical Society. All rights reserved.
Keywords
- Dowker filters
- Magidor forcing
- The continuum hypothesis