Homeomorphisms of fractafolds

Ying Ying Chan, and Robert S. Strichartz. "Homeomorphisms of fractafolds." Fundamenta Mathematicae 209.2 (2010): 177-191. <http://eudml.org/doc/283206>.

@article{YingYingChan2010,
abstract = {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.},
author = {Ying Ying Chan, Robert S. Strichartz},
journal = {Fundamenta Mathematicae},
keywords = {Sierpiński gasket; fractafold; topological rigidity},
language = {eng},
number = {2},
pages = {177-191},
title = {Homeomorphisms of fractafolds},
url = {http://eudml.org/doc/283206},
volume = {209},
year = {2010},
}

TY - JOUR
AU - Ying Ying Chan
AU - Robert S. Strichartz
TI - Homeomorphisms of fractafolds
JO - Fundamenta Mathematicae
PY - 2010
VL - 209
IS - 2
SP - 177
EP - 191
AB - 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.
LA - eng
KW - Sierpiński gasket; fractafold; topological rigidity
UR - http://eudml.org/doc/283206
ER -