| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660561 | Topology and its Applications | 2007 | 6 Pages |
Abstract
A continuum X has the Ω−EP property provided that for each self-mapping f the set of nonwandering points of f is contained in the closure of the set of eventually periodic points of f. It is known that the interval and some other continua have the Ω−EP property. We show in this note that the sin(1/x)-continuum does not have this property.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
