Vol. 53, No. 1, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Hyperspaces of graphs are Hilbert cubes

Richard Miles Schori and James Edward West

Vol. 53 (1974), No. 1, 239–251
Abstract

The authors prove tbat 2Γ is a Hilbert cube where Γ is any nondegenerate, finite, connected graph and 2Γ is the space of nonvoid closed subsets of Γ metrized with the Hausdorff metric. This extends their result that 2t is a Hilbert cube. They also prove corresponding theorems for local dendrons D as well as for the space of subcontinua C(D) of D.

Mathematical Subject Classification 2000
Primary: 54B20
Milestones
Received: 15 June 1973
Published: 1 July 1974
Authors
Richard Miles Schori
James Edward West