Generalized locally closed sets and \(GLC\)-continuous functions
A subset \(S\) of a topological space \(X\) is called locally closed if \(S\) is the intersection of an open set and a closed set. This notion was investigated in a paper by \textit{I. Reilly} and the reviewer [Int. J. Math. Math. Sci. 12, 417-424 (1989; Zbl 0676.54014)] in which they also introduced and studied the related notions of LC-irresoluteness, LC-continuity and sub-LC-continuity of functions. In the present paper the authors replace `locally closed' by `generalized locally closed', where a subset is generalized locally closed if it is the intersection of a g-open and a g-closed set, and they prove a bunch of results in the spirit of the above mentioned paper by Reilly and the reviewer.
scientific article; zbMATH DE number 903302