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2003•Unpublished venueRequires access

Induced R(L)-Fuzzy Topological Spaces and Connectedness

Zhibin Liu

Open publisher page 1 citations

Abstract

In this paper we have introduced the notion of induced R(L)-fuzzy topological spaces by using the R(L)-valued lower semicontinuous mapping and investiguted some of their basic properties.We have proved that Induced R(L)-topological spaces preserves the Cartesian product,and the(L X,δ)is a connected space if and only if (R(L) X,ω(δ))is a connected space.

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What this paper is about

In this paper we have introduced the notion of induced R(L)-fuzzy topological spaces by using the R(L)-valued lower semicontinuous mapping and investiguted some of their basic properties.We have proved that Induced R(L)-topological spaces preserves the Cartesian product,and the(L X,δ)is a connected space if and only if (R(L) X,ω(δ))is a connected space.

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Available abstract

In this paper we have introduced the notion of induced R(L)-fuzzy topological spaces by using the R(L)-valued lower semicontinuous mapping and investiguted some of their basic properties.We have proved that Induced R(L)-topological spaces preserves the Cartesian product,and the(L X,δ)is a connected space if and only if (R(L) X,ω(δ))is a connected space.

Key concepts: Topological space, Mathematics, Cartesian product, Social connectedness, Pure mathematics, Category of topological spaces, Connected space, Isolated point

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