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 |
---|---|
Format: | Article |
Language: | English |
Published: |
Odesa National University of Technology
2020-02-01
|
Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
Subjects: | |
Online Access: | https://journals.onaft.edu.ua/index.php/geometry/article/view/1605 |
Similar Items
-
Near Fixed Point Theorems in Hyperspaces
by: Hsien-Chung Wu
Published: (2018-05-01) -
Hyperspaces of set : a text with research questions/
by: 193056 Nadler, Sam B.
Published: (1978) -
Orbit Tracing Properties on Hyperspaces and Fuzzy Dynamical Systems
by: Salud Bartoll, et al.
Published: (2022-12-01) -
Inaugurated Hyperspace
by: Ben Page
Published: (2020-10-01) -
The hyperspaces Cn(X) for finite ray-graphs
by: Norah Esty
Published: (2013-04-01)