Hyperspaces of graphs are Hilbert cubes
Richard M. Schori, James Edward West · Pacific Journal of Mathematics · 1974
The authors prove that 2 Γ is a Hubert cube where Γ is any nondegenerate, finite, connected graph and 2 Γ is the space of nonvoid closed subsets of Γ metrized with the Hausdorff metric.This extends their result that 2 J is a Hubert cube.They also prove corresponding theorems for local dendrons D as well as for the space of subcontinua C(D) of D.