| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660882 | Topology and its Applications | 2008 | 13 Pages |
Abstract
A homeomorphism is expansive provided that there exists a constant c>0 and for every x,y∈X there exists an integer n, dependent only on x and y, such that d(hn(x),hn(y))>c. It is shown that if X is a 1-dimensional continuum that separates the plane into 2 pieces, then h cannot be expansive.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
