Preorder Relators and Generalized Topologies

Subject Areas : History and biography

H. Arianpoor ¹

1 - Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran

Received: 2016-10-07 Accepted : 2017-01-20 Published : 2017-01-20

Keywords: Generalized topology, preoerder relator, principal generalized topology,

Abstract :

In this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. We introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.

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