The Many Faces of Weakly Compact Cardinals Part II | Department of Mathematics

The Many Faces of Weakly Compact Cardinals Part II

Event Information
Event Location: 
GAB 461
Event Date: 
Wednesday, October 2, 2013 - 3:30pm

Last time we analyzed WC cardinals from a combinatorial perspective in terms of trees and a partition property. This time we analyze WC cardinals from the perspective of infinitary languages (which we introduce), and show that a cardinal is WC iff the corresponding infinitary language satisfies an analogue of the ordinary compactness theorem. We close with a note on Supercompact cardinals.