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Bounded stationary reflection II
Authors:Chris Lambie-Hanson
Institution:Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, 91904, Israel
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>?ω and models in which bounded stationary reflection holds at μ+ but the approachability property fails at μ.
Keywords:03E35  03E55  03E05  03E04  Stationary reflection  Approachability  Forcing  Large cardinals
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