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Coarse Homotopy on metric Spaces and their Corona

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 نشر من قبل Elisa Hartmann
 تاريخ النشر 2019
  مجال البحث
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 تأليف Elisa Hartmann




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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 Kunneth 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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