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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2014, Volume 17, Issue 2, Pages 280–287 (Mi adm471)

RESEARCH ARTICLE

Subpower Higson corona of a metric space

Jacek Kucaba, Mykhailo Zarichnyiba

a Faculty of Mathematics and Natural Sciences, University of Rzeszów, Al. Rejtana 16 A, 35-959 Rzeszów, Poland
b The Ivan Franko National University of Lviv, 1 Universytetska Str., 79000 Lviv, Ukraine

Abstract: We define a subpower Higson corona of a metric space. This corona turns out to be an intermediate corona between the Higson corona and sublinear Higson corona. It is proved that the subpower compactification of an unbounded proper metric space contains a topological copy of the Stone-Čech compactification of a countable discrete space. We also provide an example of a map between geodesic spaces that is not asymptotically Lipschitz but that generates a continuous map of the corresponding subpower Higson coronas.

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Bibliographic databases:
MSC: 46J10, 54D35
Revised: 28.06.2014
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Citation: Jacek Kucab, Mykhailo Zarichnyi, “Subpower Higson corona of a metric space”, Algebra Discrete Math., 17:2 (2014), 280–287

Citation in format AMSBIB
\Bibitem{KucZar14} \by Jacek~Kucab, Mykhailo~Zarichnyi \paper Subpower Higson corona of a metric space \jour Algebra Discrete Math. \yr 2014 \vol 17 \issue 2 \pages 280--287 \mathnet{http://mi.mathnet.ru/adm471} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3287934}