Open problems on ultrafilters and some connections to the continuum

M. Malliaris, S. Shelah

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

Abstract

We discuss a range of open problems at the intersection of set theory, model theory, and general topology, mainly around the construction of ultrafilters. Along the way we prove a uniqueness theorem for a weak notion of cut.

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages145-159
Number of pages15
DOIs
StatePublished - 2017

Publication series

NameContemporary Mathematics
Volume690
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Bibliographical note

Publisher Copyright:
© 2017 American Mathematical Society.

Keywords

  • Cut spectrum
  • Good ultrafilter
  • Keisler’s order
  • Regular ultrafilter

Fingerprint

Dive into the research topics of 'Open problems on ultrafilters and some connections to the continuum'. Together they form a unique fingerprint.

Cite this