Semiopen sets on smooth bitopological spaces (Q2747311)

A smooth topology on a set \(X\) is known to be a mapping \(\tau: I^X\to I\) \((I=[0,1])\) satisfying certain axioms [\textit{A. A. Ramadan} Fuzzy Sets Syst. 48, No. 3, 371-375 (1992; Zbl 0783.54007)]. The authors define a smooth bitopological space as a set \(X\) endowed with two smooth topologies, and study generalized versions of semiopen sets and semicontinuous functions in such a space. Routine investigations of a few elementary properties of such concepts are investigated in the context of smooth bitopological spaces along the usual line of approach.