Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Movability and limits of polyhedra

100%

Laguna V. F., Moron M. A., Nhu N. T., J. M. R Sanjurjo

Fundamenta Mathematicae

1993

tom 143

nr 3

191-201

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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 J. M. R Sanjurjo

1 Laguna V. F.

1 Moron M. A.

1 Nhu N. T.

1 1993

Wyniki wyszukiwania

Movability and limits of polyhedra