Article ID Journal Published Year Pages File Type
4660953 Topology and its Applications 2006 17 Pages PDF
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