Proximity approach to extension problems
M. Gagrat, S. Naimpally (1971)
Fundamenta Mathematicae
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Displaying similar documents to “Clusters and ultrafilters.”
Proximity approach to extension problems
Completely regular proximities and RC-proximities
Douglas Harris (1974)
Fundamenta Mathematicae
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Real maximal round filters in proximity spaces
Don Mattson (1973)
Fundamenta Mathematicae
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On the extensibility of closed filters in T spaces and the existence of well orderable filter bases
Kyriakos Keremedis, Eleftherios Tachtsis (1999)
Commentationes Mathematicae Universitatis Carolinae
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We show that the statement CCFC = “” is equivalent to the CMC and, the axiom of choice AC is equivalent to the statement CFE = “”. We also show that AC is equivalent to each of the assertions: “”, “” and “”.
Thin ultrafilters
Jana Flašková (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Infinite products of filters
Brian L. Davis, Iwo Labuda (2007)
Mathematica Slovaca
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Compounding Objects
Zvonimir Šikić (2020)
Bulletin of the Section of Logic
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We prove a characterization theorem for filters, proper filters and ultrafilters which is a kind of converse of Łoś's theorem. It is more natural than the usual intuition of these terms as large sets of coordinates, which is actually unconvincing in the case of ultrafilters. As a bonus, we get a very simple proof of Łoś's theorem.