# Sh:764

• Shelah, S., & Shioya, M. (2006). Nonreflecting stationary sets in \mathcal P_\kappa\lambda. Adv. Math., 199(1), 185–191.
• Abstract:
Let \kappa be a regular uncountable cardinal and \lambda\geq \kappa^+. The principle of stationary reflection for {\mathcal P}_\kappa\lambda has been successful in settling problems of infinite combinatorics in the case \kappa=\omega_1. For a greater \kappa the principle is known to fail at some \lambda. This note shows that it fails at every \lambda if \kappa is the successor of a regular uncountable cardinal or \kappa is countably closed.
• Current version: 2005-03-08_11 (8p) published version (7p)
Bib entry
@article{Sh:764,
author = {Shelah, Saharon and Shioya, Masahiro},
title = {{Nonreflecting stationary sets in $\mathcal P_\kappa\lambda$}},
volume = {199},
number = {1},
year = {2006},
pages = {185--191},
issn = {0001-8708},
mrnumber = {2187403},
mrclass = {03E05},
doi = {10.1016/j.aim.2005.01.012},
note = {\href{https://arxiv.org/abs/math/0405013}{arXiv: math/0405013}},
arxiv_number = {math/0405013},
referred_from_entry = {See [Sh:E86]}
}