Completely regular mappings
E. Dyer, M. Hamstrom (1958)
Fundamenta Mathematicae
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E. Dyer, M. Hamstrom (1958)
Fundamenta Mathematicae
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James Glimm (1960)
Bulletin de la Société Mathématique de France
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W. Jakobsche (1980)
Fundamenta Mathematicae
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John L. Bryant (1968)
Fundamenta Mathematicae
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J. Cannon, R. Daverman (1981)
Fundamenta Mathematicae
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R. A. McCoy (1969)
Compositio Mathematica
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A. Boals (1970)
Fundamenta Mathematicae
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Ying Ying Chan, Robert S. Strichartz (2010)
Fundamenta Mathematicae
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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.
R. Bing, A. Kirkor (1964)
Fundamenta Mathematicae
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Karol Borsuk (1949)
Fundamenta Mathematicae
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