| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661494 | Topology and its Applications | 2006 | 11 Pages |
Abstract
We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attractor of an iterated function system. We give also an example of a Cantor set K in R3 such that every homeomorphism f of R3 which preserves K coincides with the identity on K.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
