TY - JOUR
AU - Constantini, Camillo
AU - KubĂs, Wieslaw
PY - 2003/10/01
Y2 - 2024/06/18
TI - Paths in hyperspaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 4
IS - 2
SE -
DO - 10.4995/agt.2003.2040
UR - https://ojs.upv.es/index.php/AGT/article/view/2040
SP - 377-390
AB - <p>We prove that the hyperspace of closed bounded sets with the Hausdor_ 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.</p>
ER -