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


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




$\beta-$open $L-$set, $\beta-$closed $L-$set, $\beta-$separated, $\beta-$connectedness, $L-$topological space.


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.


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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