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J. Korean Math. Soc. 2007; 44(1): 129-137

Printed January 1, 2007

Copyright © The Korean Mathematical Society.

PS-connectedness of $L$-subsets

Shi-Zhong Bai

Wuyi University

Abstract

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It is known that connectedness is one of the important notions in topology. In this paper, a new notion of connectedness is introduced in $L$-topological spaces, which is called PS-connectedness. It contains some nice properties. Especially, the famous K. Fan's Theorem holds for PS-connectedness in $L$-topological spaces.

Keywords: $L$-topological space, pre-semiclosed set, remote-neighborhood, PS-connectedness

MSC numbers: 54A40, 04A72

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