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Subsequential filters - MaRDI portal

Subsequential filters (Q1032936)

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scientific article; zbMATH DE number 5625491
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Subsequential filters
scientific article; zbMATH DE number 5625491

    Statements

    Subsequential filters (English)
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    5 November 2009
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    A free filter \({\mathcal F}\) on \(\omega\) is called (sub)sequential if the space \(\omega\cup\{{\mathcal F}\}\) is (sub)sequential. The authors give several characterizations, properties and examples of these filters.
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    (sub)sequential space
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    Fréchet-Urysohn space
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    (sub)sequential filter
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    (maximal) almost disjoint family
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    (sub)sequential order
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    sums and products of (sub)sequential filters
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    \(\pi\)-network
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    Seq-space
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