| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661220 | Topology and its Applications | 2008 | 9 Pages |
Abstract
Let X be a metric continuum and C(X) the hyperspace of all nonempty subcontinua of X. Let A∈C(X), A is said to make a hole in C(X), if C(X)−{A} is not unicoherent. In this paper we study the following problem.Problem: For which A∈C(X), A makes a hole in C(X).In this paper we present some partial solutions to this problem in the following cases: (1) A is a free arc; (2) A is a one-point set; (3) A is a free simple closed curve; (4) A=X.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
