Dilip Raghavan: A small ultrafilter number

Invitation to the Logic Seminar at the National University of Singapore

Date: Wednesday, 6 March 2019, 17:00 hrs

Room: S17#04-06, Department of Mathematics, NUS

Speaker: Dilip Raghavan

Title: A small ultrafilter number

URL: http://www.comp.nus.edu.sg/~fstephan/logicseminar.html

Abstract: It is proved to be consistent relative to a measurable
cardinal that there is a uniform ultrafilter on the real numbers which
is generated by fewer than the maximum possible number of sets. It is
also shown to be consistent relative to a supercompact cardinal that
there is a uniform ultrafilter on aleph_{omega+1} which is generated
by fewer than 2^{aleph_{omega+1}} sets.

This is joint work with Saharon Shelah.

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