# Sh:835

• Shelah, S. PCF without choice. Preprint. arXiv: math/0510229
• Abstract:
We mainly investigate model of set theory, e.g., ZF + DC + "the family of countable subsets of \lambda is well ordered for every \lambda" (really local version for a given \lambda). In this frame much of pcf theory can be generalized. E.g., there is a class of regular cardinals, and we can prove cardinal inequality.
• Current version: 2019-01-18_10 (33p)
Bib entry
@article{Sh:835,
author = {Shelah, Saharon},
title = {{PCF without choice}},
note = {\href{https://arxiv.org/abs/math/0510229}{arXiv: math/0510229}},
arxiv_number = {math/0510229}
}