P-Sequential Spaces and Cleavability
Serdica Mathematical Journal, Tome 24 (1998) no. 1, pp. 89-94
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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
@article{SMJ2_1998_24_1_a8,
author = {Koinac, Ljubia},
title = {P-Sequential {Spaces} and {Cleavability}},
journal = {Serdica Mathematical Journal},
pages = {89--94},
year = {1998},
volume = {24},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1998_24_1_a8/}
}
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/