Pairwise locally semi-connected spaces (Q1093203)

The concept of semi-open sets introduced by \textit{N. Levine} [Am. Math. Mon. 70, 36-41 (1963; Zbl 0113.163)] has been used by several people to define and study semi-connectedness in topological and bitopological spaces. Recently, \textit{J. P. Sarker} and \textit{H. Dasgupta} [Indian J. Pure Appl. Math. 16, 1488-1494 (1985; Zbl 0578.54015)] introduced local semi-connected spaces and the author now extends this to bitopological spaces \((X,T_ 1,T_ 2)\), giving several results and examples which show similarities to and differences from ordinary local connectedness. A typical result is Theorem 1.3: If \((X,T_ 1,T_ 2)\) is pairwise locally semi-connected, then it is pairwise semi-connected iff it is pairwise connected. Semi-components and total semi-disconnectedness of bitopological spaces are also investigated.