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arXiv · 1907.03510

Coarse Homotopy on metric Spaces and their Corona

Elisa Hartmann
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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 Künneth 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. 2019-07-08. Coarse Homotopy on metric Spaces and their Corona. https://arxiv.org/abs/1907.03510

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