| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660313 | Topology and its Applications | 2011 | 7 Pages |
Abstract
Given a metric continuum X, let X2 and C(X) denote the hyperspaces of all nonempty closed subsets and subcontinua, respectively. For A,B∈X2 we say that B does not block A if A∩B=∅ and the union of all subcontinua of X intersecting A and contained in X−B is dense in X. In this paper we study some sets of blockers for several kinds of continua. In particular, we determine their Borel classes and, for a large class of locally connected continua X, we recognize them as cap-sets.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
