Geodesic
$\Cal T_0$- and $\Cal T_1$-reflections
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 493-504

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In an abstract category with suitable notions of subobject, closure and point, we discuss the separation axioms $T_0$ and $T_1$. Each of the arising subcategories is reflective. We give an iterative construction of the reflectors and present characteristic examples.
Classification : 18A32, 18A40, 18B30, 54A05, 54D10
Keywords: factorization system; closure operator; separation axioms; prereflection; reflection 
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     author = {Clementino, Maria Manuel},
     title = {$\Cal T_0$- and $\Cal T_1$-reflections},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {493--504},
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     volume = {33},
     number = {3},
     year = {1992},
     mrnumber = {1209291},
     zbl = {0842.18002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a11/}
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Clementino, Maria Manuel. $\Cal T_0$- and $\Cal T_1$-reflections. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 493-504. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a11/