A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS

Authors : T Hatice YALVAÇ

Pages : 15-26

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Publication Date : 2005-01-01

Article Type : Research Paper

Abstract :Kandil, Kerre and Nouh unified various concepts in fuzzy topological spaces by using operations. By adapting their definition of an operation and some other definitions given by these authors to topological spaces, and by giving some new definitions, we have previously achieved some unifications related to continuity, compactness, filters and graphs. Here we will study the unification of openness and closedness properties of functions, and give some results related to\varphi_{1,2}\psi_{1,2}-closed functions and  \varphi_{1,2}\psi_{1,2} -compact sets.
Keywords : Openness, Closedness, Compactness, Supratopology, Unification 2000 AMS Classification