2008•jOURNAL OF southwest University for NationalitiesRequires access

Some properties of semi-coutinuous functions on topological space

Peiyong Zhu

Abstract

This paper defines semi-continuous functions on a general topological space by using the concept of neighborhoods,and some basic properties of semi-continuous functions on a topological space are obtained. By means of a group of the equivalent propositions of semi-continuous functions,three properties of a new function constructed by a sequence of semi-continuous functions are proved.

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Key concepts: Topological space, Mathematics, Space (punctuation), Sequence (biology), Topology (electrical circuits), Topological vector space, Topological group, Function space