Homeomorphisms of fractafolds

• Autorzy: Ying Ying Chan , Robert S. Strichartz
• Języki publikacji: EN

Abstrakty

EN

We classify all homeomorphisms of the double cover of the Sierpiński gasket in n dimensions. We show that there is a unique homeomorphism mapping any cell to any other cell with prescribed mapping of boundary points, and any homeomorphism is either a permutation of a finite number of topological cells or a mapping of infinite order with one or two fixed points. In contrast we show that any compact fractafold based on the level-3 Sierpiński gasket is topologically rigid.

Kategorie tematyczne

• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 209
• Numer: 2
• Strony: 177-191

Daty

wydano

2010

Twórcy

autor

Ying Ying Chan

• Mathematics Department, Chinese University of Hong Kong, Shatin, Hong Kong

autor

Robert S. Strichartz

• Mathematics Department, Malott Hall, Cornell University, Ithaca, NY 14853, U.S.A.

Identyfikatory

DOI

10.4064/fm209-2-5