conclusion despite multiple exposures, ed control is more effective if wss is performed using apmdr in the aec mode. results using apmdr, the mean number of exposures was 6.1 for ap and 6.5 for lat projections. lat projections required more exposures (6.55%) than ap projections. the mean ed was 0.6276 msv (ap) and 0.6716 msv (lat). the mean ed for lat projections was 0.6061 msv in automatic exp...

It is well known that saturation of ideals is closely related to the “antichain-catching” phenomenon from Foreman-Magidor-Shelah [10]. We consider several antichain-catching properties that are weaker than saturation, and prove: (1) If I is a normal ideal on ω2 which satisfies stationary antichain catching, then there is an inner model with a Woodin cardinal; (2) For any n ∈ ω, it is consistent...