Finite arc-sums
Norman Steenrod (1934)
Fundamenta Mathematicae
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Norman Steenrod (1934)
Fundamenta Mathematicae
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W. Ayres (1930)
Fundamenta Mathematicae
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Hanna Patkowska (1971)
Fundamenta Mathematicae
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Hanna Patkowska (1969)
Fundamenta Mathematicae
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Hanna Patkowska (1963)
Fundamenta Mathematicae
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David Bellamy (1980)
Fundamenta Mathematicae
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Whyburn, G. T.
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Charles L. Hagopian (1975)
Colloquium Mathematicae
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Józef Krasinkiewicz, Piotr Minc (1978)
Fundamenta Mathematicae
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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. ...