Coarse homotopy on metric spaces and their corona

Elisa Hartmann

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Issue: 2, page 243-257
  • ISSN: 0010-2628

Abstract

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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 and reflects isomorphisms.

How to cite

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Hartmann, Elisa. "Coarse homotopy on metric spaces and their corona." Commentationes Mathematicae Universitatis Carolinae (2021): 243-257. <http://eudml.org/doc/297493>.

@article{Hartmann2021,
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 and reflects isomorphisms.},
author = {Hartmann, Elisa},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Higson corona; coarse geometry},
language = {eng},
number = {2},
pages = {243-257},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Coarse homotopy on metric spaces and their corona},
url = {http://eudml.org/doc/297493},
year = {2021},
}

TY - JOUR
AU - Hartmann, Elisa
TI - Coarse homotopy on metric spaces and their corona
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
IS - 2
SP - 243
EP - 257
AB - 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 and reflects isomorphisms.
LA - eng
KW - Higson corona; coarse geometry
UR - http://eudml.org/doc/297493
ER -

References

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