# 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. arXiv: math/0003118 DOI: 10.1112/S0024610702003757 MR: 1942407

See [Sh:E20] -
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}, mrnumber = {1942407}, mrclass = {03E05 (03E35 03E55)}, 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]} }