TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS

By Jun Jason Luo, Hui Rao, Bo Tan. 2002

55 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/033a8e59c343c5285d4d22889cf741c115d82203

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Anne Siegel
2. Jörg M. Thuswaldner
3. Shigeki Akiyama

In Geometry and Topology

1. Anne Siegel
2. Jörg M. Thuswaldner
3. Shigeki Akiyama

In Mathematical Physics

1. Anne Siegel
2. Jörg M. Thuswaldner
3. Shigeki Akiyama
4. Val'erie Berth'e
5. Wolfgang Steiner
6. Hui Rao

Citations in the corpus

• Topological Properties of Rauzy Fractals (2010, methodology): “However, in our situation there is no possibility to conclude from the connectivity of the interior of a tile to its homeomorphy to a disk like it can be done in the case of iterated function systems (see [92]).”
• A Survey on Topological Properties of Tiles Related to Number Systems (2004, background): “connected interior. In the general case one has to use the fact that any plane IFS with open set condition induces a “tiling” of R2 (cf. for instance [ 48 ] or [51, Lemma 2.3]).”