Article ID Journal Published Year Pages File Type
4661554 Annals of Pure and Applied Logic 2017 22 Pages PDF
Abstract

Bounded stationary reflection at a cardinal λ is the assertion that every stationary subset of λ reflects but there is a stationary subset of λ   that does not reflect at arbitrarily high cofinalities. We produce a variety of models in which bounded stationary reflection holds. These include models in which bounded stationary reflection holds at the successor of every singular cardinal μ>ℵωμ>ℵω and models in which bounded stationary reflection holds at μ+μ+ but the approachability property fails at μ.

Related Topics
Physical Sciences and Engineering Mathematics Logic
Authors
,