EXTENSIONS GENERATED BY CLOSED SETS
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Abstract
From the nonempty collection of all closed sets $(Y)$ of any topological space $(X , \tau)$, Schmidt generates a topological space $(Y,\mathcal{U})$. In this paper, we give some properties of this topological space. We determined when $(f,(Y,\mathcal{U}))$ is an extension of $(X , \tau)$. Also we give some separation properties. This paper leads us to unsolved problem men- tioned at the encl of it.
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