Displaying similar documents to “Filter characterizations of z-, C*-, and C-embeddings”

Soju Filters in Hoop Algebras

Rajab Ali Borzooei, Gholam Reza Rezaei, Mona Aaly Kologhani, Young Bae Jun (2021)

Bulletin of the Section of Logic

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The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

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.

Convergent Filter Bases

Roland Coghetto (2015)

Formalized Mathematics

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We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).