Normal ultrafilter on small subsets
= Normal ultrafilter on small subsets
= Normal ultrafilters on small subsets
{synonym}
An <ultrafilter> $U$ on $P_\kappa(\lambda)$ is normal when each <function> with $f(x)\in x$ on a $U$-large set is constant on a $U$-large subset. This is the small-subset version of normality; together with fineness and <kappa-completeness> it gives the measure characterization of a <supercompact cardinal>.