Generic compactness reformulated

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 2 by -closed forcing. This new concept implies CH and extends the reflection principles for stationary sets in a canonical way.

• Type: Journal
• Year: 2004
• Where: AML
• Authors: Bernhard König
• Keywords: AML 2004, Generic Large Cardinals, Pure Reflection, Reflection Principles