The minimum uniform compactification of a metric space
Grant Woods, R.
Fundamenta Mathematicae, Tome 146 (1995), p. 39-59 / Harvested from The Polish Digital Mathematics Library
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It is shown that associated with each metric space (X,d) there is a compactification udX of X that can be characterized as the smallest compactification of X to which each bounded uniformly continuous real-valued continuous function with domain X can be extended. Other characterizations of udX are presented, and a detailed study of the structure of udX is undertaken. This culminates in a topological characterization of the outgrowth udℝn∖ℝn, where (ℝn,d) is Euclidean n-space with its usual metric.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:212073 
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     pages = {39-59},
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Grant Woods, R. The minimum uniform compactification of a metric space. Fundamenta Mathematicae, Tome 146 (1995) pp. 39-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv147i1p39bwm/

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