Interval Topology and Order-Convergence in the Hyperspace of a Topological Space

✍ Scribed by Hans-Jürgen Schmidt

• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 410 KB
• Volume: 118
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19841180108

✦ Synopsis

In the hyperspace Exp X of all closed subsets of a topological space X interval and order topology solely use the c-relation in Exp X for their definitions whereas HAUSDORFB set convergence and VIETORIS topology use neighbourhoods in X itself. Nevertheless there exist intimate but non-trivial relations between them.

3. N denotes the set of all naturals.