# Sh:691

• Džamonja, M., & Shelah, S. (2003). Weak reflection at the successor of a singular cardinal. J. London Math. Soc. (2), 67(1), 1–15.
• Abstract:
The notion of stationary reflection is one of the most important notions of combinatorial set theory. We investigate weak reflection, which is, as its name suggests, a weak version of stationary reflection. Our main result is that modulo a large cardinal assumption close to 2-hugeness, there can be a regular cardinal \kappa such that the first cardinal weakly reflecting at \kappa is the successor of a singular cardinal. This answers a question of Cummings, Džamonja and Shelah.
• published version (16p)
Bib entry
@article{Sh:691,
author = {D{\v{z}}amonja, Mirna and Shelah, Saharon},
title = {{Weak reflection at the successor of a singular cardinal}},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second Series},
volume = {67},
number = {1},
year = {2003},
pages = {1--15},
issn = {0024-6107},
doi = {10.1112/S0024610702003757},
mrclass = {03E05 (03E35 03E55)},
mrnumber = {1942407},
mrreviewer = {A. Kanamori},
doi = {10.1112/S0024610702003757},
note = {\href{https://arxiv.org/abs/math/0003118}{arXiv: math/0003118}},
arxiv_number = {math/0003118},
keyword = {stationary reflection, weak reflection, successor of singular, 2-huge cardinal},
referred_from_entry = {See [Sh:E20]}
}