Abstract
Assuming that there is no inner model with a Woodin cardinal, we obtain a characterization of λ-tall cardinals in extender models that are iterable. In particular, we prove that in such extender models, a cardinal κ is a tall cardinal if and only if it is either a strong cardinal or a measurable limit of strong cardinals.
| Original language | English |
|---|---|
| Pages (from-to) | 425-454 |
| Number of pages | 30 |
| Journal | Notre Dame Journal of Formal Logic |
| Volume | 62 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 by University of Notre Dame.
Keywords
- Core model
- Extender models
- Strong cardinals
- Tall cardinals