2013Unpublished venueRequires access

On -Induced L-Fuzzy Topological Spaces

Baby Bhattacharya, Jayasree Chakraborty

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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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What this paper is about

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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Available 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.

Key concepts: Topological space, Topological vector space, Mathematics, Topological manifold, Function space, T1 space, Topology (electrical circuits), Zero-dimensional space

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