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Ends and Simple Coarse Structures

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Abstract

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 Freudenthal compactification is an example of a Higson compactification.

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Acknowledgements

The author is extremely grateful to the excellent referee for offering multiple suggestions to improve the paper or remove gaps in the first version of it.

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  1. University of Tennessee, Knoxville, USA

    Jerzy Dydak

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  1. Jerzy Dydak
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Correspondence to Jerzy Dydak.

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Dydak, J. Ends and Simple Coarse Structures. Mediterr. J. Math. 17, 4 (2020). https://doi.org/10.1007/s00009-019-1437-4

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  • DOI: https://doi.org/10.1007/s00009-019-1437-4

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