$\beta-$connectedness in $L-$topological spaces

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Published: Dec 20, 2010
DOI: https://doi.org/10.5556/j.tkjm.42.2011.652
Keywords:
$\beta-$open $L-$set $\beta-$closed $L-$set $\beta-$separated $\beta-$connectedness $L-$topological space.

Main Article Content

Bo Chen
School ofMathematics and Statistics, Southwest University, Chongqing 400715, P.R.China.

Abstract

In this paper, a new kind of connectivity called $\beta-$connectedness in $L-$topological spaces is introduced by means of $\beta-$closed $L-$sets. Some fundamental properties of $\beta-$connectedness are obtained. Especially, the famous K.Fan's Theorem can be extended to $L-$topological spaces for $\beta-$connectedness.

Article Details

How to Cite
Chen, B. (2010). $\beta-$connectedness in $L-$topological spaces. Tamkang Journal of Mathematics, 42(1), 69–77. https://doi.org/10.5556/j.tkjm.42.2011.652
Issue
Vol. 42 No. 1 (2011)
Section
Papers

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