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Lattice Topology Space And Concept Lattice

Posted on:2013-11-13Degree:MasterType:Thesis
Country:ChinaCandidate:J YuFull Text:PDF
GTID:2230330371976666Subject:Probability theory and mathematical statistics
Abstract/Summary:PDF Full Text Request
The development of the topological theory has long been a concern of the majority of scholars and research issues. While the general topology to enhance the power Is an old and young subject.In this article, "Lattice topology" is a tool to enhance the general topology,which introduced set theory in topological concept into the reverse involution corresponds to complete the dual grid. It defines the space of lattice topology and a topology of the grid from the systems of neighborhood elements, the systems of open elements and network convergence relations.In this article,It focuses on the relation between lattice topology and general topology, as well as several structure of the topology on the lattice topology uncertainty with each other.Finally,this paper introduced and got the initial concept lattice theory.
Keywords/Search Tags:tail, full, directed set, filter, network, the systems of neighborhood elements, the systems of open elements, network convergence, concept lattice
PDF Full Text Request
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