# Sh:832

• Greenberg, N., & Shelah, S. Many forcing axioms for all regular uncountable cardinals. Preprint. arXiv: 2107.05755
• Abstract:
A central theme in set theory is to find universes with extreme, well-understood behaviour. The case we are interested in is assuming GCH and has a strong forcing axiom of higher order than usual. Instead of “for every suitable forcing notion for \lambda” we shall say “for every such family of forcing notions, depending on stationary S\subseteq \lambda, for some such stationary set we have…”. Such notions of forcing are important for Abelian group theory, but this application is delayed for a sequel.
• Version 2021-07-11 (30p)
Bib entry
@article{Sh:832,
author = {Greenberg, Noam and Shelah, Saharon},
title = {{Many forcing axioms for all regular uncountable cardinals}},
note = {\href{https://arxiv.org/abs/2107.05755}{arXiv: 2107.05755}},
arxiv_number = {2107.05755}
}