Article ID Journal Published Year Pages File Type
1708959 Applied Mathematics Letters 2010 5 Pages PDF
Abstract

Closure space was introduced by Cech as a generalization of ordinary topology. In this work we establish a one to one correspondence between quasi-discrete closures and reflexive relations. We show that, in a quasi-discrete closure space, if a closure clcl and its topological closure clTclT are respectively generated by relations RR and SS, then SS is the transitive closure of RR.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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