Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters
Abstract
ABSTRACT The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers, focused mostly on congruences and divisions. We show that similar methods can be used to extend these characterizations to arbitrary relations and their interplay.
Fields of Study & Subjects
Mathematical and Theoretical Analysis
Advanced Algebra and Logic
Advanced Topology and Set Theory
Publication details
- Journal / source
- Mathematical logic quarterly
- Volume
- 72
- Issue
- 3
- Publication date
- 27 May 2026
- Language
- EN