Coarse homotopy on metric spaces and their corona
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 2, pp. 243-257
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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.
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.
DOI :
10.14712/1213-7243.2021.011
Classification :
51F99, 54H99
Keywords: Higson corona; coarse geometry
Keywords: Higson corona; coarse geometry
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author = {Hartmann, Elisa},
title = {Coarse homotopy on metric spaces and their corona},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {243--257},
year = {2021},
volume = {62},
number = {2},
doi = {10.14712/1213-7243.2021.011},
mrnumber = {4303580},
zbl = {07396221},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.011/}
}
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Hartmann, Elisa. Coarse homotopy on metric spaces and their corona. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 2, pp. 243-257. doi: 10.14712/1213-7243.2021.011
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