1Mathematics Department Parker Hall Auburn University Auburn, AL 36849-5310, U.S.A. 2Department of Mathematics and Computer Science University of Richmond Richmond, VA 23173, U.S.A.
Fundamenta Mathematicae, Tome 180 (2003) no. 1, pp. 11-24
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.
Keywords:
harrold showed arc exactly to continuous image metric continuum gottschalk showed dendrite to image arc connected treelike continuum to image continuum
Affiliations des auteurs :
Jo Heath
1
;
Van C. Nall
2
1
Mathematics Department Parker Hall Auburn University Auburn, AL 36849-5310, U.S.A.
2
Department of Mathematics and Computer Science University of Richmond Richmond, VA 23173, U.S.A.
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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 180 (2003) no. 1, pp. 11-24. doi: 10.4064/fm180-1-2
