Clusters and ultrafilters.
Brian Warrack, Somashekhar Naimpally (1968)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Displaying similar documents to “Remote points in spaces with π-weight ”
Clusters and ultrafilters.
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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Powers of spaces of non-stationary ultrafilters
Jerry Vaughan (1983)
Fundamenta Mathematicae
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Seven characterizations of non-meager 𝖯-filters
Kenneth Kunen, Andrea Medini, Lyubomyr Zdomskyy (2015)
Fundamenta Mathematicae
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We give several topological/combinatorial conditions that, for a filter on ω, are equivalent to being a non-meager -filter. In particular, we show that a filter is countable dense homogeneous if and only if it is a non-meager -filter. Here, we identify a filter with a subspace of through characteristic functions. Along the way, we generalize to non-meager -filters a result of Miller (1984) about -points, and we employ and give a new proof of results of Marciszewski (1998). We also...
Ultrafilter with predecessors in Rudin-Frolík order
Lev Bukovský, Eva Butkovičová (1981)
Commentationes Mathematicae Universitatis Carolinae
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