| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661342 | Topology and its Applications | 2007 | 8 Pages |
Abstract
A. Lelek asked which continua are remainders of locally connected compactifications of the plane. In this paper we study a similar problem with local connectedness replaced by arcwise connectedness. (Each locally connected continuum is arcwise connected.) We give the following characterization: a continuum X is pointed 1-movable if and only if there is an arcwise connected compactification of the plane with X as the remainder.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
