P-Sequential Space FU(p)-Space Sequential Space Cleavability P-Closed Space P-Compact Space
Issue Date:
1998
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 24, No 1, (1998), 89p-94p
Abstract:
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.
Description:
∗ Supported by the Serbian Scientific Foundation, grant No 04M01