Every compact sequential space is Fréchet
V. Kannan (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Sequential + separable vs sequentially separable and another variation on selective separability”
Every compact sequential space is Fréchet
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P-Sequential Spaces and Cleavability
Koinac, Ljubia (1998)
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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.
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Mapping theorems on countable tightness and a question of F. Siwiec
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In this paper -quotient maps and -spaces are introduced. It is shown that (1) countable tightness is characterized by -quotient maps and quotient maps; (2) a space has countable tightness if and only if it is a countably bi-quotient image of a locally countable space, which gives an answer for a question posed by F. Siwiec in 1975; (3) -spaces are characterized as the -quotient images of metric spaces; (4) assuming , a compact -space is an -space if and only if every countably...