2015/05/13 by Chris Lambie‐Hanson, Lambie-Hanson, Chris
Computer Science · Mathematics · #03E05 #03E35 #03E55 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.1505.03395
openalex publication_date 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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> ℵω and models in which bounded stationary reflection holds at μ+ but the approachability property fails at μ.