Geodesic
Compactifications of Fractal Structures
Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1 
F. G. Arenas; M. A. Sanchez-granero. Compactifications of Fractal Structures. Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a0/
@article{AMUC_2004_73_1_a0,
     author = {F. G. Arenas and M. A. Sanchez-granero},
     title = {Compactifications of {Fractal} {Structures}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2004},
     volume = {73},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper we introduce GF-compactifications, which are compactifications of GF-spaces (a new notion introduced by the authors). We study properties of this new kind of compactification and prove that every GF-compactification is of Wallman type. We also prove that every metrizable compactification of a metric space $X$ is a GF-compactification and, as a corollary, that every metric compactification is of Wallman type, giving a new proof of a result that dates back to Aarts. Finally, we prove some extension theorems.