Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661455 | Topology and its Applications | 2007 | 17 Pages |
Abstract
We study a family of rational maps acting on the Riemann sphere with a single preperiodic critical orbit. Using a generalization of the well-known Sierpinski gasket, we provide a complete topological description of their Julia sets. In addition, we present a combinatorial algorithm that allows us to show when two such Julia sets are not topologically equivalent.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology