Of Mice and Machetes
Logic
2024-08-01 v1
Abstract
Let be the class of regular cardinals which are not hyperinaccessible. We show that , and similar inner models in the -inaccessible hierarchy, can be generated by iterating a small "machete" mouse up through all the ordinals, and then taking a generic extension by a hyperclass Magidor iteration of Prikry forcings. We then show that such simple mice are themselves elements of .
Cite
@article{arxiv.2407.21562,
title = {Of Mice and Machetes},
author = {Christopher Henney-Turner and Philip Welch},
journal= {arXiv preprint arXiv:2407.21562},
year = {2024}
}
Comments
21 pages