PROGRAM
ODELJENJE ZA MATEMATIKU MATEMATIČKOG INSTITUTA SANU |
PROGRAM ZA FEBRUAR 2019.
PETAK, 22.02.2019 u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Dilip Raghavan, National University of Singapore
A SMALL ULTRAFILTER NUMBER
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.
Ovo je zajednički sastanak sa Seminarem za logiku.