2008•Journal of Guizhou UniversityRequires access

Some Path Connect Properties On Vietoris Topological Space

Xiang Shu-wen

Abstract

In this paper,we discuss some relation of path connect properties between Vietoris topological space and its basic topological space.Especially,it is proved that(1)If is local path connect space and is a path connect subset of,and each member of is path connect,then is path connect.(2)If is path connect space,then is path connect.(3) If is local path connect space and is path connect space,then is path connect spac.

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Key concepts: Path (computing), Topology (electrical circuits), Space (punctuation), Connected space, Relation (database), Topological space, Mathematics, Computer science