A basic approach to the perfect extensions of spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 571-580
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In this paper we generalize the notion of {\it perfect compactification} of a Tychonoff space to a generic extension of any space by introducing the concept of {\it perfect pair}. This allow us to simplify the treatment in a basic way and in a more general setting. Some [S$_1$], [S$_2$], and [D]'s results are improved and new characterizations for perfect (Hausdorff) extensions of spaces are obtained.
Classification :
54D35
Keywords: extension; maximal extension; perfect extension; perfect pair
Keywords: extension; maximal extension; perfect extension; perfect pair
@article{CMUC_1997__38_3_a13,
author = {Nordo, Giorgio},
title = {A basic approach to the perfect extensions of spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {571--580},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1997},
mrnumber = {1485078},
zbl = {0937.54014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a13/}
}
Nordo, Giorgio. A basic approach to the perfect extensions of spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 571-580. http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a13/