On descriptive classification of functions
Katětov, M.
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Katětov, M.
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Ladislav Skula (1969)
Czechoslovak Mathematical Journal
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Miroslav Katětov (1968)
Commentationes Mathematicae Universitatis Carolinae
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Anh Tran Mynard, Frédéric Mynard (2007)
Czechoslovak Mathematical Journal
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Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filters (i.e., neighborhood filters in spaces of the same name) are characterized in a unified manner in terms of their images in the Stone space of ultrafilters. These characterizations involve closure structures on the set of ultrafilters. The case of productively Fréchet filters answers a question of S. Dolecki and turns out to be the only one involving a non topological closure structure. ...