Topologies on Closed and Closed Convex Sets - Gerald Beer - Google Books

http://books.google.de/books?id=GCKBqSYgUp0C&pg=PA132&dq=hyperspace+definition&lr=&as_brr=3#PPA1,M1

This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set…