Local homeomorphisms and related mappings on graphs
Janusz Jerzy Charatonik, Stanisław Miklos (1984)
Mathematica Slovaca
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Janusz Jerzy Charatonik, Stanisław Miklos (1984)
Mathematica Slovaca
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Janusz Jerzy Charatonik, Stanisław Miklos, Krzysztof Omiljanowski (1987)
Czechoslovak Mathematical Journal
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Beverly Brechner (1972)
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. ...
Janusz Charatonik, M. Kalota (1983)
Fundamenta Mathematicae
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