Generic compactness reformulated

Archive for Mathematical Logic 43 (3):311-326 (2004)
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Abstract

We point out a connection between reflection principles and generic large cardinals. One principle of pure reflection is introduced that is as strong as generic supercompactness of ω2 by Σ-closed forcing. This new concept implies CH and extends the reflection principles for stationary sets in a canonical way

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10.1007/s00153-003-0211-1

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