PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Generic existence of ultrafilters on the natural numbers

Volume 236 / 2017

Jörg Brendle, Jana Flašková Fundamenta Mathematicae 236 (2017), 201-245 MSC: Primary 03E17; Secondary 03E15, 03E35, 03E50. DOI: 10.4064/fm730-5-2016 Published online: 24 November 2016

Abstract

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.

Authors

  • Jörg BrendleGraduate School of System Informatics
    Kobe University
    Rokko-dai 1-1, Nada-ku
    Kobe 657-8501, Japan
    e-mail
  • Jana FlaškováDepartment of Mathematics
    University of West Bohemia
    Univerzitní 22
    306 14 Plzeň, Czech Republic
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image