# Sh:1111

- Garti, S., & Shelah, S. (2021).
*Double weakness*. Acta Math. Hungar.,**163**(2), 379–391. arXiv: 2002.03573 DOI: 10.1007/s10474-021-01132-y MR: 4227788 -
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} }