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1992•Science in China Series A-Mathematics Physics Astronomy & Technological ScienceOpen access

INTRINSIC TOPOLOGY AND REFINEMENT OF HUTTON UNIT INTERVAL

Guojun Wang, XU Luo-shan

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Abstract

This paper introduces the theory of continuous lattices to the study of the Hutton unit interval I( L ). some theorems related to I(L) are pithily proved. A kind of intrinsic topologies is applied to refining the topology of I(L),and a new fuzzy unit interval,called the H( λ ) unit interval,is defined.Based on the H( λ ) unit interval the H( λ )-complete regularity is introduced.Also,the theory of. H( λ )-stone-ech compactifications is established

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What this paper is about

This paper introduces the theory of continuous lattices to the study of the Hutton unit interval I( L ). some theorems related to I(L) are pithily proved. A kind of intrinsic topologies is applied to refining the topology of I(L),and a new fuzzy unit interval,called the H( λ ) unit interval,is defined.Based on the H( λ ) unit interval the H( λ )-complete regularity is introduced.Also,the theory of. H( λ )-stone-ech compactifications is established

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Available abstract

This paper introduces the theory of continuous lattices to the study of the Hutton unit interval I( L ). some theorems related to I(L) are pithily proved. A kind of intrinsic topologies is applied to refining the topology of I(L),and a new fuzzy unit interval,called the H( λ ) unit interval,is defined.Based on the H( λ ) unit interval the H( λ )-complete regularity is introduced.Also,the theory of. H( λ )-stone-ech compactifications is established

Key concepts: Unit interval, Interval (graph theory), Unit (ring theory), Topology (electrical circuits), Network topology, Mathematics, Computer science, Discrete mathematics

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