# Sh:1111

• Garti, S., & Shelah, S. (2021). Double weakness. Acta Math. Hungar., 163(2), 379–391.
• Abstract:
We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal \lambda for which the sequence \langle 2^\theta:\theta<\lambda\rangle is not eventually constant and the weak diamond fails at \lambda. We also prove that consistently diamond fails but a parametrized version of weak diamond holds at some strongly inaccessible
• Version 2020-02-11 (15p) published version (13p)
Bib entry
@article{Sh:1111,
author = {Garti, Shimon and Shelah, Saharon},
title = {{Double weakness}},
journal = {Acta Math. Hungar.},
fjournal = {Acta Mathematica Hungarica},
volume = {163},
number = {2},
year = {2021},
pages = {379-391},
mrnumber = {4227788},
doi = {10.1007/s10474-021-01132-y},
note = {\href{https://arxiv.org/abs/2002.03573}{arXiv: 2002.03573}},
arxiv_number = {2002.03573}
}