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.
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]
Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters
L. Luperi Baglini
Ultimo
2026
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.
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