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Published in:
01-10-2014 | Foundations
The categories \(L\)-\(\mathbf{Top}_{0}\) and \(L\)-\(\mathbf{Sob}\) as epireflective hulls
Published in: Soft Computing | Issue 10/2014
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Abstract
We show that the category \(L\)-\(\mathbf{Top}_{0}\) of \(T_{0}\)-\(L\)-topological spaces is the epireflective hull of Sierpinski \(L\)-topological space in the category \(L\)-\(\mathbf{Top}\) of \(L\)-topological spaces and the category \(L\)-\(\mathbf{Sob}\) of sober \(L\)-topological spaces is the epireflective hull of Sierpinski \(L\)-topological space in the category \(L\)-\(\mathbf{Top}_{0}\).