Demirci, Mustafa2021-06-232021-06-2319990165-0114https://doi.org/10.1016/S0165-0114(97)00117-6https://hdl.handle.net/20.500.12491/5336Various concepts related to smooth topological spaces have been introduced, and relations among them studied by several authors [2-6]. In this pager we introduce the notions of smooth, quasi-smooth and weak smooth structure, showing that various properties of a smooth topological space can be expressed in terms of these structures. In particular, the definitions and the results of [2-6] may be expressed in terms of the smooth and quasi-smooth structures. Then we will set out the fundamental concepts of these three structures and the relations between them.eninfo:eu-repo/semantics/closedAccessFuzzy TopologySmooth TopologyGradation of OpennessFuzzy ContinuityFuzzy Compactness (TOPO)Article10.1016/S0165-0114(97)00117-610111851902-s2.0-8544223612Q1WOS:000077351100021Q2