ALMOST S^{*} -COMPACTNESS IN L-TOPOLOGICAL SPACES

Abstract

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