^{1}School of Management Science and Engineering, Shandong Institute of Business and Technology, Yantai 264005, P. R. China

^{2}Department of Mathematics, Beijing Institute of Technology, Beijing,100081, P. R. China

^{3}School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, P. R. China

Abstract

In this paper, the notion of almost S^{*}-compactness in L-topological spaces is introduced following Shi’s definition of S^{*}-compactness. The properties of this notion are studied and the relationship between it and other definitions of almost compactness are discussed. Several characterizations of almost S^{*}-compactness are also presented.

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