Exactly two-to-one maps from continua onto some tree-like continua
Dębski, Wojciech ; Heath, J. ; Mioduszewski, J.
Fundamenta Mathematicae, Tome 141 (1992), p. 269-276 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:211965 
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     year = {1992},
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Dębski, Wojciech; Heath, J.; Mioduszewski, J. Exactly two-to-one maps from continua onto some tree-like continua. Fundamenta Mathematicae, Tome 141 (1992) pp. 269-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p269bwm/

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