Article ID Journal Published Year Pages File Type
4662032 Annals of Pure and Applied Logic 2010 28 Pages PDF
Abstract

We obtain very strong coloring theorems at successors of singular cardinals from failures of certain instances of simultaneous reflection of stationary sets. In particular, the simplest of our results establishes that if μ is singular and , then there is a regular cardinal θ<μ such that any fewer than cf(μ) stationary subsets of must reflect simultaneously.

Related Topics
Physical Sciences and Engineering Mathematics Logic