On Compact Set Generated by T-open Sets

Abstract

In this work, a novel definition of compactness in topological space, termed T-

compact set, was introduced by relying on a new type of open set called T-open.

A number of examples of the new concept were also given. Additionally, the

conditions under which the concept of T-compact space were discussed. Finally,

the propositions of the function through is transferred from one space to another

were explained.