2007•Journal of Hengyang Normal UniversityRequires access

When do the Topologies Determined by the Closure Operation,Interior Operation and Subset Family Agree

Deng Yi-hua

Abstract

The definitions of interior and closure of a set about a subbase for a topological space are introduced in this paper,and then some properties of them are discussed;the agreeable condition of the topology determined by the closure operation,interior operation and subsetfamily is gained.

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Key concepts: Closure (psychology), Subbase, Topology (electrical circuits), Set (abstract data type), Mathematics, Network topology, Topological space, Space (punctuation)