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math.MG2020
Coarse compactifications of proper metric spaces
Elisa Hartmann
This paper studies coarse compactifications and their boundary. We introduce two alternative descriptions to Roe's original definition of coarse compactification. One approach uses…
math.MG2019★ 1 cited
Coarse Homotopy on metric Spaces and their Corona
Elisa Hartmann
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…
math.MG2019★ 4 cited
Twisted Coefficients on coarse Spaces and their Corona
Elisa Hartmann
To a metric space we associate a compact topological space called the corona of . Then a coarse map between metric spaces is mapped to a continuous map $ν'…