On the existence of true uniform ultrafilters

Simon, Petr. "On the existence of true uniform ultrafilters." Commentationes Mathematicae Universitatis Carolinae 45.4 (2004): 739-741. <http://eudml.org/doc/249340>.

@article{Simon2004,
abstract = {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 $.},
author = {Simon, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniform ultrafilter; linked family; uniform ultrafilter; linked family},
language = {eng},
number = {4},
pages = {739-741},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of true uniform ultrafilters},
url = {http://eudml.org/doc/249340},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Simon, Petr
TI - On the existence of true uniform ultrafilters
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 739
EP - 741
AB - 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 $.
LA - eng
KW - uniform ultrafilter; linked family; uniform ultrafilter; linked family
UR - http://eudml.org/doc/249340
ER -