On -Induced L-Fuzzy Topological Spaces
Baby Bhattacharya, Jayasree Chakraborty
Abstract
Baby Bhattacharya, Jayasree Chakraborty
Abstract
The aim of this paper is to study the concept of -induced L-fuzzy topological spaces. Some properties of the function s (namely Scott- -continuous function) are studied. The Scott- -continuous functions turn out to be the natural tool for studying the -induced L-fuzzy topological space. We also discuss the connections between some separations, countability and covering properties of an ordinary topological space and its corresponding -induced L-fuzzy topological space.
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The aim of this paper is to study the concept of -induced L-fuzzy topological spaces. Some properties of the function s (namely Scott- -continuous function) are studied. The Scott- -continuous functions turn out to be the natural tool for studying the -induced L-fuzzy topological space. We also discuss the connections between some separations, countability and covering properties of an ordinary topological space and its corresponding -induced L-fuzzy topological space.
Key concepts: Topological space, Topological vector space, Mathematics, Topological manifold, Function space, T1 space, Topology (electrical circuits), Zero-dimensional space