Countable s*-compactness in L-spaces

Authors

  • Gui-Qin Yang Mudanjiang Teachers College.

DOI:

https://doi.org/10.4067/S0716-09172005000300007

Keywords:

L-topology, βa-open cover, Qa-open cover, S∗-compactness, countable S∗-compactness.

Abstract

In this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. If L = [0, 1], then countable strong compactness implies countable S*-compactness and countable S*-compactness implies countable F-compactness, but each inverse is not true. The intersection of a countably S*-compact L-set and a closed L-set is countably S*-compact. The continuous image of a countably S*-compact L-set is countably S*-compact. A weakly induced L-space (X, T ) is countably S*-compact if and only if (X, [T ]) is countably compact.

Author Biography

Gui-Qin Yang, Mudanjiang Teachers College.

Department of Mathematics.

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Published

2017-04-20

How to Cite

[1]
G.-Q. Yang, “Countable s*-compactness in L-spaces”, Proyecciones (Antofagasta, On line), vol. 24, no. 3, pp. 287-294, Apr. 2017.

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Section

Artículos