Sequential space methods in general topological spaces

Paul R. Meyer

Displaying similar documents to “Sequential space methods in general topological spaces”

T-sequential topological spaces

Ray Snipes (1972)

Fundamenta Mathematicae

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P-Sequential Spaces and Cleavability

Koinac, Ljubia (1998)

Serdica Mathematical Journal

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∗ Supported by the Serbian Scientific Foundation, grant No 04M01 We consider some relations between p-sequential-like properties and cleavability of topological spaces. Under a special assumption we give an very easy proof of the following result of A.V. Arhangel’skii (the main result in [1]): if a (countably) compact space X is cleavable over the class of sequential spaces, then X is also sequential.

Spaces in which sequences suffice

S. Franklin (1965)

Fundamenta Mathematicae

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Spaces in which sequences suffice II

S. Franklin (1967)

Fundamenta Mathematicae

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On multisequences and their application to products of sequential spaces

Saliou Sitou (1999)

Mathematica Slovaca

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$L$ -groups versus $k$ -groups

Roman Frič (1993)

Mathematica Bohemica

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We investigate free groups over sequential spaces. In particular, we show that the free $k$ -group and the free sequential group over a sequential space with unique limits coincide and, barred the trivial case, their sequential order is $ω_{1}$ .

Some problems in sequential analysis

John A. Bather (1985)

Banach Center Publications

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C-Sequential and S-Bornological Topological Vector Spaces.

Ray F. Snipes (1973)

Mathematische Annalen

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Notes on Fréchet spaces.

Hong, Woo Chorl (1999)

International Journal of Mathematics and Mathematical Sciences

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