On families of large oscillation
W. Comfort, S. Negrepontis (1972)
Fundamenta Mathematicae
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W. Comfort, S. Negrepontis (1972)
Fundamenta Mathematicae
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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...
Alan Dow (1984)
Fundamenta Mathematicae
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Jana Flašková (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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W. Comfort, S. Negrepontis (1970)
Fundamenta Mathematicae
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Saharon Shelah (2006)
Fundamenta Mathematicae
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We are interested in generalizing part of the theory of ultrafilters on ω to larger cardinals. Here we set the scene for further investigations introducing properties of ultrafilters in strong sense dual to being normal.
Pierre Matet (1988)
Fundamenta Mathematicae
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Lev Bukovský, Eva Butkovičová (1981)
Commentationes Mathematicae Universitatis Carolinae
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