| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659666 | Topology and its Applications | 2012 | 5 Pages |
Abstract
We present a topological characterization of the Sierpiński triangle. This answers question 58 from the Problem book of the Open Problem Seminar held at Charles University. In fact we give a characterization of the Apollonian gasket first. Consequently we show that any subcontinuum of the Apollonian gasket, whose boundary consists of three points, is homeomorphic to the Sierpiński triangle.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
