# 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.
• published version (7p)
Bib entry
@article{Sh:764,
author = {Shelah, Saharon and Shioya, Masahiro},
title = {{Nonreflecting stationary sets in $\mathcal P_\kappa\lambda$}},
}