Accessibility spaces, -spaces and initial topologies
Charles E. Aull (1979)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Notes on Fréchet spaces.”
Accessibility spaces, -spaces and initial topologies
Spaces in which sequences suffice
S. Franklin (1965)
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On some problems of local approximability in compact spaces
Tironi, G., Isler, R.
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Two-fold theorem on Fréchetness of products
Szymon Dolecki, Tsugunori Nogura (1999)
Czechoslovak Mathematical Journal
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A refined common generalization of known theorems (Arhangel’skii, Michael, Popov and Rančin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.
On multisequences and their application to products of sequential spaces
Saliou Sitou (1999)
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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.