No arc-connected treelike continuum is the 2-to-1 image of a continuum
Jo Heath ; Van C. Nall
Fundamenta Mathematicae, Tome 177 (2003), p. 11-24 / Harvested from The Polish Digital Mathematics Library
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In 1940, O. G. Harrold showed that no arc can be the exactly 2-to-1 continuous image of a metric continuum, and in 1947 W. H. Gottschalk showed that no dendrite is a 2-to-1 image. In 2003 we show that no arc-connected treelike continuum is the 2-to-1 image of a continuum.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:282929 
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     year = {2003},
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Jo Heath; Van C. Nall. No arc-connected treelike continuum is the 2-to-1 image of a continuum. Fundamenta Mathematicae, Tome 177 (2003) pp. 11-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm180-1-2/