Asymptotic properties of the (convex) hyperspaces
It is known that the hyperspaces of compact sets and compact convex set of the Euclidean space $\mathbb R^n$, $n\ge2$, both are homeomorphic to the puctured Hilbert cube. The main result of this note states that these hyperspaces are not coarsely equivalent.
Main Authors: | Mykhailo Zarichnyi, Mykhailo Romanskyi |
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Format: | Article |
Language: | English |
Published: |
Odesa National University of Technology
2020-02-01
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Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
Subjects: | |
Online Access: | https://journals.onaft.edu.ua/index.php/geometry/article/view/1605 |
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