hilbert cube
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2020 ◽  
Vol 8 (3-4) ◽  
pp. 60-64
Author(s):  
Mykhailo Zarichnyi ◽  
Mykhailo Romanskyi

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.


2019 ◽  
Vol 260 ◽  
pp. 215-228
Author(s):  
Mirosław Ślosarski
Keyword(s):  

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