Investigation on centred systems and separation axioms in smooth fuzzy topological spaces

Abstract

In the thesis the author introduced and studied the concepts of newlinesmooth fuzzy centred system the absolute coR of a smooth fuzzy newlinetopological space extremally and basically disconnectedness in newlinesmooth fuzzy centred system smooth fuzzy contra Gscontinuous newlinefunction smooth fuzzy almost Gocompactness smooth fuzzy Sclosed newlinespaces smooth fuzzy Gsregular and Gsnormal spaces smooth fuzzy newline3continuous functions smooth fuzzy 13T12 spaces rfuzzy semi newlineresp Go7open set rfuzzy semi resp Goyregular space rfuzzy newlinesemi resp G0ynormal space rfuzzy semi resp G6yTi spaces newlinei 0 1 2 12 rfuzzy semi resp G0yRo space smooth fuzzy upper newlinebirresolute multifunction smooth fuzzy bconnected space smooth newlinefuzzy super bconnected space smooth fuzzy strongly bconnected newlinespaces Properties characterizations and interrelations among the newlineconcepts introduced are discussed Also examples and counter newlineexamples are provided wherever necessary newline