Geodesic
The notion of closedness in topological categories
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 2, pp. 383-395 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In [1], various generalizations of the separation properties, the notion of closed and strongly closed points and subobjects of an object in an arbitrary topological category are given. In this paper, the relationship between various generalized separation properties as well as relationship between our separation properties and the known ones ([4], [5], [7], [9], [10], [14], [16]) are determined. Furthermore, the relationships between the notion of closedness and strongly closedness are investigated in an arbitrary topological category and a characterization of each of these notions is given for some known topological categories.
In [1], various generalizations of the separation properties, the notion of closed and strongly closed points and subobjects of an object in an arbitrary topological category are given. In this paper, the relationship between various generalized separation properties as well as relationship between our separation properties and the known ones ([4], [5], [7], [9], [10], [14], [16]) are determined. Furthermore, the relationships between the notion of closedness and strongly closedness are investigated in an arbitrary topological category and a characterization of each of these notions is given for some known topological categories.
Classification : 18B99, 18D15, 54A05, 54A20, 54B30, 54D10
Keywords: topological category; separation properties; (strongly) closed objects 
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     title = {The notion of closedness in topological categories},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {383--395},
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Baran, Mehmet. The notion of closedness in topological categories. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 2, pp. 383-395. http://geodesic.mathdoc.fr/item/CMUC_1993_34_2_a21/