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

Rana Noor; Arun K. Srivastava

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

Category Theory 2013-06-19 v2

Authors: Rana Noor , Arun K. Srivastava

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 $L\textbf{-Top}_{0}$ .

Keywords

epireflective hull $L$-topological spaces $T_0$-$L$-topological spaces sober $L$-topological spaces Sierpinski $L$-topological space category theory

Cite

@article{arxiv.1306.1895,
  title  = {The categories $L$\textbf{-Top_0} and $L$\textbf{Sob} as epireflective hulls},
  author = {Rana Noor and Arun K. Srivastava},
  journal= {arXiv preprint arXiv:1306.1895},
  year   = {2013}
}

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

Abstract

Keywords

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