Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters

Academic Article

Publication Date:

2026

Citation:

Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters / L. Raffaello Maximilian Gasparro, L.L.B.. - In: MATHEMATICAL LOGIC QUARTERLY. - ISSN 0942-5616. - 72:3(2026), pp. 1-13. [10.1002/malq.70022]

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.

IRIS type:

01 - Articolo su periodico

Keywords:

extensions of relations; nonstandard analysis; self-divisibility; ultrafilters;

List of contributors: