Geodesic
Zero-Dimensional Compactifications of Locally Compact Spaces
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 920-930

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a locally compact Hausdorff topological space. A compactification of X is a compact Hausdorff space which contains X as a dense subspace. Two compactifications α X and γX of X are equivalent if there is a homeomorphism from α X onto γX that fixes X pointwise. We shall identify equivalent compactifications of a given space. If is a family of compactifications of X, we can partially order by saying that α X ≦ γX if there is a continuous map from γX onto α X that fixes X pointwise. 
Woods, R. Grant. Zero-Dimensional Compactifications of Locally Compact Spaces. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 920-930. doi: 10.4153/CJM-1974-087-3
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