Geodesic
Generic existence of ultrafilters on the natural numbers
Jörg Brendle 1   ; Jana Flašková 2
1 Graduate School of System Informatics Kobe University Rokko-dai 1-1, Nada-ku Kobe 657-8501, Japan
2 Department of Mathematics University of West Bohemia Univerzitní 22 306 14 Plzeň, Czech Republic
Fundamenta Mathematicae, Tome 236 (2017) no. 3, pp. 201-245 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Say that a class of ultrafilters exists generically if every filter base of size $ \lt {\mathfrak c}$ can be extended to an ultrafilter in that class. We investigate generic existence of ultrafilters defined in terms of ideals on the natural numbers, like the summable ultrafilters and the density zero ultrafilters.
DOI : 10.4064/fm730-5-2016
Keywords: say class ultrafilters exists generically every filter base size mathfrak extended ultrafilter class investigate generic existence ultrafilters defined terms ideals natural numbers summable ultrafilters density zero ultrafilters

Jörg Brendle  1   ; Jana Flašková  2

1 Graduate School of System Informatics Kobe University Rokko-dai 1-1, Nada-ku Kobe 657-8501, Japan
2 Department of Mathematics University of West Bohemia Univerzitní 22 306 14 Plzeň, Czech Republic 
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Jörg Brendle; Jana Flašková. Generic existence of ultrafilters on the natural numbers. Fundamenta Mathematicae, Tome 236 (2017) no. 3, pp. 201-245. doi: 10.4064/fm730-5-2016

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