I. V. Protasov
Coronas of ultrametric spaces

Comment.Math.Univ.Carolin. 52,2 (2011) 303-307.

Abstract: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.

Keywords: Stone-\v Cech compactification, ultrametric space, corona, Higson's corona, space of ends
AMS Subject Classification: 54D35 54D80 54G05

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