Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659404 | Topology and its Applications | 2012 | 11 Pages |
Abstract
For a metric continuum X, we consider the hyperspaces C(X) and F2(X) of all subcontinua and of all nonempty subsets of X with at most two points, respectively. In this paper we study classes of continua X for which F2(X) can be embedded in C(X) and we also characterize locally connected continua X for which C(X) can be embedded in the Euclidean space R4 and we prove a similar result for R5.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology