- Tytuł:
- Movability and limits of polyhedra
- Autorzy:
-
Laguna, V.
Moron, M.
Nguyen, Nhu
Sanjurjo, J. - Powiązania:
- https://bibliotekanauki.pl/articles/1208564.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- We define a metric $d_S$, called the shape metric, on the hyperspace $2^X$ of all non-empty compact subsets of a metric space X. Using it we prove that a compactum X in the Hilbert cube is movable if and only if X is the limit of a sequence of polyhedra in the shape metric. This fact is applied to show that the hyperspace $(2^ℝ^2}, d_S)$ is separable. On the other hand, we give an example showing that $2^ℝ^2}$ is not separable in the fundamental metric introduced by Borsuk.
- Źródło:
-
Fundamenta Mathematicae; 1993, 143, 3; 191-201
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł