 |
|
Applied General Topology
Universidad Politécnica de Valencia
Volume 4, No. 2, 2003
pp. 377-390 |
Paths in hyperspaces
Camillo Costantini and Wieslaw Kubi\'s
We prove that the hyperspace of closed bounded sets with the Hausdorff
topology, over an almost convex metric space, is an absolute retract.
Dense subspaces of normed linear spaces are examples of, not necessarily
connected, almost convex metric spaces. We give some necessary conditions
for the path-wise connectedness of the Hausdorff metric topology on
closed bounded sets. Finally, we describe properties of a separable
metric space, under which its hyperspace with the Wijsman topology is
path-wise connected.
2000 Mathematics Subject Classification: 54B20 54C55 54D05
Keywords: hyperspace, Wijsman topology, Hausdorff metric, path-wise
connectedness, absolute retract
- Volume 4, No. 2, 2003 contents
- Applied General Topology home
- Subscription information
Copyright © 2003
Applied General Topology and
Topology Atlas.