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Generalized products of weakly m — n compact spaces, I

Part of: Fairly general properties

Published online by Cambridge University Press:  09 April 2009

U. N. B. Dissanayake
U. N. B. Dissanayake
Affiliation:
Department of Mathematics University of AlbertaEdmonton, AlbertaCanadaT6G 2G1
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Abstract

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A topological space X is said to be weakly-Lindelöf if and only if every open cover of X has a countable sub-family with dense union. We know that products of two Lindelöf spaces need not be weakly-Lindelöf. In this paper we obtain non-trivial sufficient conditions on small sub-products to ensure the producitivity of the property weakly-Lindelöf with respect to arbitrary products.

Keywords

weakly-Lindelöf spacesTk-spacesk = 2weakly m — n compact spacesweakly ∞ — n compact spacesk-box topologyγ-weak topological sumsregular cardinalssingular cardinalsstrongly γ-inaccessible cardinalsdensity number.

MSC classification

Secondary: 54D30: Compactness
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 2 , October 1982 , pp. 143 - 151
Copyright
Copyright © Australian Mathematical Society 1982

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