Geodesic
Completions in biaffine sets
Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 76-90

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The theory of completion of $T_0$ objects in categories of affine objects over a given complete category developed by the second author is extended to the case of $T_0$ objects in categories of 2affine objects. In the paper the case of the category $Set$ and target object the two-point set is studied in detail and an internal characterization of 2affine sets is provided.

Classification : 18A20, 18B30, 18B99, 18A32, 08B30, 54A05, 54B30
Keywords: 2affine set, Zariski closure, separated object, complete object, injective object, bitopological space} 
@article{TAC_2008_21_a4,
     author = {Elisabetta Felaco and Eraldo Giuli},
     title = {Completions in biaffine sets},
     journal = {Theory and applications of categories},
     pages = {76--90},
     publisher = {mathdoc},
     volume = {21},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2008_21_a4/}
}
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Elisabetta Felaco; Eraldo Giuli. Completions in biaffine sets. Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 76-90. http://geodesic.mathdoc.fr/item/TAC_2008_21_a4/