Displaying similar documents to “On multisequences and their application to products of sequential spaces”

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.