# Sh:1036

- Shelah, S.
*Forcing axioms for \lambda-complete \mu ^+-c.c.*arXiv: 1310.4042 -
Abstract:

We note that some form of the condition "p_1, p_2 have a \leq_{\mathbb{Q}}-lub in \mathbb{Q}" is necessary in some forcing axiom for \lambda-complete \mu^+-c.c. forcing notions. We also show some versions are really stronger than others, a strong way to answer Alexie’s question of having \mathbb{P} satisfying one condition but no \mathbb{P}' equivalent to \mathbb{P} satisfying another. We have not looked systematically whether any such question (of interest) is open. [Ask Ashutosh to read in Aug 2014]; B. check counterexmple in [SHSt:154, page 235], and one in Ap §2 or 3 of [SH:f]; check the paper with Otmar- have another variant - Current version: 2019-09-09_10 (21p)

Bib entry

@article{Sh:1036, author = {Shelah, Saharon}, title = {{Forcing axioms for $ \lambda $-complete $\mu ^+ $-c.c.}}, note = {\href{https://arxiv.org/abs/1310.4042}{arXiv: 1310.4042}}, arxiv_number = {1310.4042} }