Geodesic
Homeomorphisms of fractafolds
Ying Ying Chan1 ; Robert S. Strichartz2
1 Mathematics Department Chinese University of Hong Kong Shatin, Hong Kong
2 Mathematics Department Malott Hall Cornell University Ithaca, NY 14853, U.S.A.
Fundamenta Mathematicae, Tome 209 (2010) no. 2, pp. 177-191

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm209-2-5
Keywords: classify homeomorphisms double cover sierpi ski gasket dimensions there unique homeomorphism mapping cell other cell prescribed mapping boundary points homeomorphism either permutation finite number topological cells mapping infinite order fixed points contrast compact fractafold based level sierpi ski gasket topologically rigid

Ying Ying Chan 1 ; Robert S. Strichartz 2

1 Mathematics Department Chinese University of Hong Kong Shatin, Hong Kong
2 Mathematics Department Malott Hall Cornell University Ithaca, NY 14853, U.S.A. 
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Ying Ying Chan; Robert S. Strichartz. Homeomorphisms of fractafolds. Fundamenta Mathematicae, Tome 209 (2010) no. 2, pp. 177-191. doi: 10.4064/fm209-2-5

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