Nonreflecting stationary sets in P_kappa(lambda)
Logic
2007-05-23 v1
Abstract
Let kappa be a regular uncountable cardinal and lambda >=kappa^+ . The principle of stationary reflection for 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.
Keywords
Cite
@article{arxiv.math/0405013,
title = {Nonreflecting stationary sets in P_kappa(lambda)},
author = {Saharon Shelah and Masahiro Shioya},
journal= {arXiv preprint arXiv:math/0405013},
year = {2007}
}