Extension of multisequences and countably uniradial classes of topologies

Szymon Dolecki; Andrzej Starosolski; Stephen W. Watson

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Displaying similar documents to “Extension of multisequences and countably uniradial classes of topologies”

Ordinal ultrafilters versus P-hierarchy

Andrzej Starosolski (2014)

Open Mathematics

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An earlier paper [Starosolski A., P-hierarchy on βω, J. Symbolic Logic, 2008, 73(4), 1202–1214] investigated the relations between ordinal ultrafilters and the so-called P-hierarchy. The present paper focuses on the aspects of characterization of classes of ultrafilters of finite index, existence, generic existence and the Rudin-Keisler-order.

Strongly sequential spaces

Frédéric Mynard (2000)

Commentationes Mathematicae Universitatis Carolinae

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The problem of Y. Tanaka [10] of characterizing the topologies whose products with each first-countable space are sequential, is solved. The spaces that answer the problem are called strongly sequential spaces in analogy to strongly Fréchet spaces.

Strongly sequential spaces.

Mynard, Frédéric (2000)

Commentationes Mathematicae Universitatis Carolinae

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On multisequences and their application to products of sequential spaces

Saliou Sitou (1999)

Mathematica Slovaca

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More on strongly sequential spaces

Frédéric Mynard (2002)

Commentationes Mathematicae Universitatis Carolinae

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Strongly sequential spaces were introduced and studied to solve a problem of Tanaka concerning the product of sequential topologies. In this paper, further properties of strongly sequential spaces are investigated.