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Displaying similar documents to “Powers of spaces of non-stationary ultrafilters”

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...

Thin ultrafilters

Jana Flašková (2005)

Acta Universitatis Carolinae. Mathematica et Physica

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The combinatorics of reasonable ultrafilters

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.