| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659282 | Topology and its Applications | 2013 | 4 Pages |
Abstract
Given a metric continuum X, let Fn(X) denote the hyperspace of nonempty subsets of X with at most n points. We prove that Fn(X) is k-mutually aposyndetic for every k⩾2 and n⩾3. That is, given k distinct elements in Fn(X), there are k disjoint subcontinua of Fn(X), each containing one of the elements in its interior.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
