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.
@article{118517, author = {Maria Manuel Clementino}, title = {$\Cal T\_0$- and $\Cal T\_1$-reflections}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {33}, year = {1992}, pages = {493-504}, zbl = {0842.18002}, mrnumber = {1209291}, language = {en}, url = {http://dml.mathdoc.fr/item/118517} }
Clementino, Maria Manuel. $\Cal T_0$- and $\Cal T_1$-reflections. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 493-504. http://gdmltest.u-ga.fr/item/118517/
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