Tall cardinals in extender models
Logic
2021-04-13 v2
Abstract
Assuming that there is no inner model with a Woodin cardinal, we obtain a characterization of -tall cardinals in extender models that are iterable. In particular we prove that in such extender models, a cardinal is a tall cardinal if and only if it is either a strong cardinal or a measurable limit of strong cardinals.
Keywords
Cite
@article{arxiv.1905.10340,
title = {Tall cardinals in extender models},
author = {Gabriel Fernandes and Ralf Schindler},
journal= {arXiv preprint arXiv:1905.10340},
year = {2021}
}