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http://dx.doi.org/10.11568/kjm.2020.28.2.311

THE PROPERTIES OF RESIDUATED CONNECTIONS AND ALEXANDROV TOPOLOGIES  

Oh, Ju-Mok (Department of Mathematics Gangneung-Wonju National)
Kim, Yong Chan (Department of Mathematics Gangneung-Wonju National)
Publication Information
Korean Journal of Mathematics / v.28, no.2, 2020 , pp. 311-321 More about this Journal
Abstract
In this paper, we investigate the properties of residuated connections and Alexandrov topologies based on [0, ∞]. Under various relations, we investigate the residuated and dual residuated connections on Alexandrov toplogies. Moreover, we study their properties and give their examples.
Keywords
Non-symmetric pseudo-metrics; residuated and dual residuated connections; Alexandrov topologies;
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