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arXiv · 1306.1895

The categories $L$\textbf{-Top_0} and $L$\textbf{Sob} as epireflective hulls

Rana Noor·Arun K. Srivastava
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Abstract

We show that the category $L\textbf{-Top}_{0}$ of $T_{0}$-$L$-topological spaces is the epireflective hull of Sierpinski $L$-topological space in the category $L\textbf{-Top}$ of $L$-topological spaces and the category $L\textbf{-Sob}$ of sober $L$-topological spaces is the epireflective hull of Sierpinski $L$-topological space in the category $L\textbf{-Top}_{0}$.

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Rana Noor, Arun K. Srivastava. 2013-06-08. The categories $L$\textbf{-Top_0} and $L$\textbf{Sob} as epireflective hulls. https://arxiv.org/abs/1306.1895

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