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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Displaying similar documents to “The sequentiality is equivalent to the -Fréchet-Urysohn property”
The sequentiality and the Fréchet-Urysohn property with respect to ultrafilters
On countable Fréchet-Urysohn spaces
Viacheslav I. Malykhin (1988)
Commentationes Mathematicae Universitatis Carolinae
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Topological spaces compact with respect to a set of filters
Paolo Lipparini (2014)
Open Mathematics
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If is a family of filters over some set I, a topological space X is sequencewise -compact if for every I-indexed sequence of elements of X there is such that the sequence has an F-limit point. Countable compactness, sequential compactness, initial κ-compactness, [λ; µ]-compactness, the Menger and Rothberger properties can all be expressed in terms of sequencewise -compactness for appropriate choices of . We show that sequencewise -compactness is preserved under taking products if and...