2019
Apr
10

# Set Theory Seminar - Yair Hayut (KGRC) - Partial Strong Compactness

2:00pm to 3:30pm

## Location:

Ross 63

**Abstract:**The ultrafilter lemma, saying that every filter can be extended to an ultrafilter, is one of the fundamental consequences of the axiom of choice. By adding closure assumptions, and asking for extension of $\kappa$-complete filters to $\kappa$-complete ultrafilters, we obtain the notion of strongly compact cardinal, which has a very high consistency strength.