On Continuous Curves which are Homogeneous except for a Finite Number of Points
T. Benton (1930)
Fundamenta Mathematicae
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T. Benton (1930)
Fundamenta Mathematicae
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Arthur, David (2003)
The Electronic Journal of Combinatorics [electronic only]
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Jussi Väisälä (1982)
Colloquium 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.
W. Ayres (1932)
Fundamenta Mathematicae
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Robert Moore (1923)
Fundamenta Mathematicae
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The purpose of this article is to prove: Theorem: Suppose that, in a given three dimensional space S, ABCD is a rectangle and G is a self-compact set of simple continuous arcs such that: 1. through each point of ABCD there is just one arc of G, 2. BC and AD are arcs of G, 3. no two arcs of G have a point in common, 4. each arc of G has one endpoint on the interval AB and one endpoint on the interval CD but contains no other point in common with either of these intervals, 5. the set of...
Hanna Patkowska (1963)
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. ...
Barát, János, Hajnal, Péter (2001)
The Electronic Journal of Combinatorics [electronic only]
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Norman Steenrod (1934)
Fundamenta Mathematicae
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William Gilbert (1972)
Fundamenta Mathematicae
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