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: | , |
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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 |
| Summary: | 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. |
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| ISSN: | 2072-9812 2409-8906 |