Geodesic
On the existence of true uniform ultrafilters
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 739-741.

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We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, which cannot be reached from the set of all subuniform ultrafilters by iterating the closure of sets of size $\kappa$.
Classification : 54A20, 54D80, 54G05
Keywords: uniform ultrafilter; linked family 
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Simon, Petr. On the existence of true uniform ultrafilters. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 739-741. http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a13/