Geodesic
No arc-connected treelike continuum is the 2-to-1 image of a continuum
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.
Fundamenta Mathematicae, Tome 180 (2003) no. 1, pp. 11-24 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm180-1-2
Keywords: harrold showed arc exactly to continuous image metric continuum gottschalk showed dendrite to image arc connected treelike continuum to image continuum

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

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