The sequentiality and the Fréchet-Urysohn property with respect to ultrafilters
Viacheslav I. Malykhin (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Viacheslav I. Malykhin (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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B. Boldjiev, Viacheslav I. Malykhin (1990)
Commentationes Mathematicae Universitatis Carolinae
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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...
Jana Flašková (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Alò, Richard A., Shapiro, Harvey L., Weir, Maurice (1975)
Portugaliae mathematica
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