Geodesic
Coronas of ultrametric spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 2, pp. 303-307.

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We show that, under CH, the corona of a countable ultrametric space is homeomorphic to $\omega^*$. As a corollary, we get the same statements for the Higson's corona of a proper ultrametric space and the space of ends of a countable locally finite group.
Classification : 54D35, 54D80, 54G05
Keywords: Stone-Čech compactification; ultrametric space; corona; Higson's corona; space of ends 
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Protasov, I. V. Coronas of ultrametric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 2, pp. 303-307. http://geodesic.mathdoc.fr/item/CMUC_2011__52_2_a9/