P-Sequential Spaces and Cleavability
Serdica Mathematical Journal, Tome 24 (1998) no. 1, pp. 89-94.

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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.
Keywords: P-Sequential Space, FU(p)-Space, Sequential Space, Cleavability, P-Closed Space, P-Compact Space
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Koinac, Ljubia. P-Sequential Spaces and Cleavability. Serdica Mathematical Journal, Tome 24 (1998) no. 1, pp. 89-94. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_1_a8/