Relative smooth topological spaces (Q981844)

Summary: In 1992, \textit{A. A. Ramadan} [Fuzzy Sets Syst. 48, No. 3, 371--375 (1992; Zbl 0783.54007)] introduced the concept of a smooth topological space and relativeness between smooth topological space and fuzzy topological space from \textit{C. L. Chang}'s [J. Math. Anal. Appl. 24, 182--190 (1968; Zbl 0167.51001)] viewpoint. In this paper we give a new definition of smooth topological space. This definition can be considered as a generalization of the smooth topological space which was given by Ramadan. Some general properties, such as relative smooth continuity and relative smooth compactness, are studied.