A stationary subset $S$ of a regular uncountable cardinal $\kappa$ reflects fully at regular cardinals if for every stationary set $T \subseteq \kappa$ of higher order consisting of regular cardinals there exists an $\alpha \in T$ such that $S \cap \alpha$ is a stationary subset of $\alpha$. Full Reflection states that every stationary set reflects fully at regular cardinals. We will prove that under a slightly weaker assumption than $\kappa$ having the Mitchell order $\kappa^{++}$ it is consistent that Full Reflection holds at every $\lambda \leq \kappa$ and $\kappa$ is measurable.
Publié le : 1994-06-14
Classification:
Stationary sets,
full reflection,
measurable cardinals,
repeat points,
03E35,
03E55
@article{1183744503,
author = {Jech, Thomas and Witzany, Jiri},
title = {Full Reflection at a Measurable Cardinal},
journal = {J. Symbolic Logic},
volume = {59},
number = {1},
year = {1994},
pages = { 615-630},
language = {en},
url = {http://dml.mathdoc.fr/item/1183744503}
}
Jech, Thomas; Witzany, Jiri. Full Reflection at a Measurable Cardinal. J. Symbolic Logic, Tome 59 (1994) no. 1, pp. 615-630. http://gdmltest.u-ga.fr/item/1183744503/