Nonstandard methods characterize the weak, strong, and mixed extensions of arbitrary relations to ultrafilter spaces and their interplay.
Hypernatural numbers as ultrafilters.Nonstandard anal- ysis for the working mathematician, pages 443–474, 2015
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Weak, strong and mixed extensions of relations to spaces of ultrafilters
Nonstandard methods characterize the weak, strong, and mixed extensions of arbitrary relations to ultrafilter spaces and their interplay.