# Sh:764

- Shelah, S., & Shioya, M. (2006).
*Nonreflecting stationary sets in \mathcal P_\kappa\lambda*. Adv. Math.,**199**(1), 185–191. arXiv: math/0405013 DOI: 10.1016/j.aim.2005.01.012 MR: 2187403

See [Sh:E86] -
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 $\mathcal P_\kappa\lambda$}}, journal = {Adv. Math.}, fjournal = {Advances in Mathematics}, volume = {199}, number = {1}, year = {2006}, pages = {185--191}, issn = {0001-8708}, mrnumber = {2187403}, mrreviewer = {Pierre Matet}, 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]} }