On compact spaces which are locally Cantor bundles
Andrzej Gutek (1980)
Fundamenta Mathematicae
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Andrzej Gutek (1980)
Fundamenta Mathematicae
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Hanna Patkowska (1963)
Fundamenta Mathematicae
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A. Lelek, L. Mohler (1971)
Fundamenta Mathematicae
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Beverly Brechner (1972)
Fundamenta Mathematicae
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E. Anderson (1971)
Fundamenta Mathematicae
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D. McMillan (1974)
Fundamenta Mathematicae
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Jo Ford (1966)
Fundamenta Mathematicae
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Wojciech Dębski (1992)
Fundamenta Mathematicae
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It is shown that 2-to-1 maps cannot be defined on certain solenoids, in particular on the dyadic solenoid, and on Knaster continua.
Lavallee, Lorraine D. (1965)
Portugaliae mathematica
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Wojciech Dębski, J. Heath, J. Mioduszewski (1996)
Fundamenta Mathematicae
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Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable. ...