Geodesic
Derived Subspaces of Metric Spaces
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 465-467

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

It is shown that the boundary of the set of accumulation points of a metrizable space X is compact iff X has a compatible metric d such that d(A, B)>0 whenever A and B are disjoint closed subsets of X, each of which is disjoint from the set of accumulation points. 
Martin, Harold W. Derived Subspaces of Metric Spaces. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 465-467. doi: 10.4153/CMB-1980-070-0
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