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arxiv: 1801.09580 · v4 · pith:PNRL6CCOnew · submitted 2018-01-29 · 🧮 math.MG · math.GN· math.GT

Ends and simple coarse structures

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keywords simplecoarsecompactificationendsexamplehigsonstructuresapplication
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This paper is devoted to introducing coarse structures in a very simple way, namely as an equivalence relation on the set of simple ends. As an application we show that Gromov boundary of every hyperbolic space is an example of a Higson corona and each Freundenthal compactification is an example of a Higson compactification.

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