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HC-convergence theory of L -nets and L -ideals and some of its applications

A. A. Nouh — 2003

Mathematica Bohemica

In this paper we introduce and study the concepts of error -closed set and error -limit ( error -cluster) points of L -nets and L -ideals using the notion of almost N -compact remoted neighbourhoods in L -topological spaces. Then we introduce and study the concept of error -continuous mappings. Several characterizations based on error -closed sets and the error -convergence theory of L -nets and L -ideals are presented for error -continuous mappings.

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