| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659937 | Topology and its Applications | 2012 | 6 Pages |
Abstract
A subset of a given continuum is called a shore set if there is a sequence of continua in the complement of this set converging to the whole continuum with respect to the Hausdorff metric. A point is called a shore point if the one point set containing this point is a shore set. We present several examples of a lambda-dendroid which contains two disjoint shore continua whose union is not a shore set. This answers a question of Van C. Nall in negative.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
