The categories L-\mathbf{Top}_{0} and L-\mathbf{Sob} as epireflective hulls |
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| Authors: | Rana Noor Arun K Srivastava |
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| Affiliation: | 1. Department of Mathematics, Banaras Hindu University, Varanasi?, 221 005, India
2. Department of Mathematics and Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi?, 221 005, India
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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 \(L\) - \(\mathbf{Top}_{0}\) . |
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