Geodesic
Exactly two-to-one maps from continua onto arc-continua
Fundamenta Mathematicae, Tome 150 (1996) no. 2, pp. 113-126.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-150-2-113-126

W. Dębski 1 ; J. Heath 1 ; J. Mioduszewski 1

1 
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W. Dębski; J.  Heath; J.  Mioduszewski. Exactly two-to-one maps from continua onto arc-continua. Fundamenta Mathematicae, Tome 150 (1996) no. 2, pp. 113-126. doi : 10.4064/fm-150-2-113-126. http://geodesic.mathdoc.fr/articles/10.4064/fm-150-2-113-126/

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