Completely regular mappings
E. Dyer, M. Hamstrom (1958)
Fundamenta Mathematicae
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Displaying similar documents to “Homotopy 2-regular mappings whose inverses are open 3-cells”
Completely regular mappings
Two cartesian products which are euclidean spaces
James Glimm (1960)
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The Bing-Borsuk conjecture is stronger than the Poincaré conjecture
W. Jakobsche (1980)
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Euclidean space modulo a cell
John L. Bryant (1968)
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Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds
J. Cannon, R. Daverman (1981)
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Some applications of Henderson’s open embedding theorem of -manifolds
R. A. McCoy (1969)
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Non-manifold factors Euclidean spaces
A. Boals (1970)
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Homeomorphisms of fractafolds
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.
An arc is tame in 3-space if and only if it is strongly cellular
R. Bing, A. Kirkor (1964)
Fundamenta Mathematicae
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On the third symmetric potency of the circumference
Karol Borsuk (1949)
Fundamenta Mathematicae
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