Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661554 | Annals of Pure and Applied Logic | 2017 | 22 Pages |
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
Chris Lambie-Hanson,