JP Journal of Geometry and Topology
Volume 5, Issue 2, Pages 109 - 113
(July 2005)
|
|
MINIMAL NUMBER OF TORI IN GEOMETRIC SELF-SIMILAR ANTOINE CANTOR SETS
Matjaz Zeljko (Slovenia)
|
Abstract: In a defining sequence of a standard Antoine Cantor every topological torus has an embedded chain of four smaller topological tori. If we require the tori to be geometric tori symmetrically embedded in the torus of previous stage, the embedded chain must have at least 20 terms. |
Keywords and phrases: Wild Cantor set, similitude, coefficient of similarity, defining sequence. |
|
Number of Downloads: 272 | Number of Views: 646 |
|