Coarse Homotopy on metric Spaces and their Corona

Published 8 Jul 2019 in math.MG and math.AT | (1907.03510v1)

Abstract: This paper discusses properties of the Higson corona by means of a quotient on coarse ultrafilters on a proper metric space. We use this description to show that the corona functor is faithful. This study provides a K\"unneth formula for twisted coarse cohomology. We obtain the Gromov boundary of a hyperbolic proper geodesic metric space as a quotient of its Higson corona.

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Elisa Hartmann

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