Geodesic
Exactly two-to-one maps from continua onto some tree-like continua
Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 269-276

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

DOI

It is known that no dendrite (Gottschalk 1947) and no hereditarily indecomposable tree-like continuum (J. Heath 1991) can be the image of a continuum under an exactly 2-to-1 (continuous) map. This paper enlarges the class of tree-like continua satisfying this property, namely to include those tree-like continua whose nondegenerate proper subcontinua are arcs. This includes all Knaster continua and Ingram continua. The conjecture that all tree-like continua have this property, stated by S. Nadler Jr. and L. E. Ward Jr. (1983), is still neither confirmed nor rejected.
DOI : 10.4064/fm-141-3-269-276
Keywords: Knaster continua, Ingram continua, 2-to-1 map 
Wojciech Dębski; J. Heath; J. Mioduszewski. Exactly two-to-one maps from continua onto some tree-like continua. Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 269-276. doi: 10.4064/fm-141-3-269-276
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