Adding cofinal countable sequences through multiple regular cardinals by ssp forcing
Logic
2025-10-29 v1
Abstract
We present a direct construction of stationary set preserving forcings that make -cofinal all the members of some arbitrary set of regular cardinals . In addition, it is made possible to ensure that no other uncountable regular cardinals from the ground model acquire countable cofinality in the forcing extension. Our method is elementary, being based on a combinatorial argument by Foreman and Magidor together with generalizations of typical side-condition arguments and needs no assumptions beyond .
Keywords
Cite
@article{arxiv.2510.24634,
title = {Adding cofinal countable sequences through multiple regular cardinals by ssp forcing},
author = {Ben De Bondt and Boban Velickovic},
journal= {arXiv preprint arXiv:2510.24634},
year = {2025}
}
Comments
15 pages