Let (X, T) be a topological space and *X a nonstandard extension of X. Sets of the form *G, where G $\in$ T. form a base for the "standard" topology $^ST$ on *X. The topological space (*X, $^ST$) will be used to study compactifications of (X, T) in a systematic way.
Publié le : 2000-12-14
Classification:
Nonstandard Extension,
Standard Topology,
Compactifications,
Compact,
Locally Compact,
Supersober Spaces,
03C90,
03H05,
54J05,
54D35,
54D60
@article{1183746267,
author = {Salbany, S. and Todorov, Todor},
title = {Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications},
journal = {J. Symbolic Logic},
volume = {65},
number = {1},
year = {2000},
pages = { 1836-1840},
language = {en},
url = {http://dml.mathdoc.fr/item/1183746267}
}
Salbany, S.; Todorov, Todor. Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications. J. Symbolic Logic, Tome 65 (2000) no. 1, pp. 1836-1840. http://gdmltest.u-ga.fr/item/1183746267/