Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660953 | Topology and its Applications | 2006 | 17 Pages |
Abstract
Let X be a metric continuum and let Fn(X) be the nth symmetric product of X (Fn(X) is the hyperspace of nonempty subsets of X with at most n points). In this paper we prove that if Fn(X) is homeomorphic to Fn(Y), where X is a finite graph and Y is a continuum, then X is homeomorphic to Y.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology