The categories L-Top₀ and LSob as epireflective hulls

2013/06/08 by Rana Noor, Noor, Rana, Arun K. Srivastava +1
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #math.CT

paper · pdf · doi:10.48550/arxiv.1306.1895

arxiv created 2013/06/18 · arxiv updated 2013/06/19

Abstract

We show that the category L-Top₀ of T₀-L-topological spaces is the epireflective hull of Sierpinski L-topological space in the category L-Top of L-topological spaces and the category L-Sob of sober L-topological spaces is the epireflective hull of Sierpinski L-topological space in the category L-Top₀.

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