Geodesic
No arc-connected treelike continuum is the 2-to-1 image of a continuum
Jo Heath1 ; Van C. Nall2
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

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

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. 
@article{10_4064_fm180_1_2,
     author = {Jo Heath and Van C. Nall},
     title = {No arc-connected treelike continuum is the 2-to-1
  image of a continuum},
     journal = {Fundamenta Mathematicae},
     pages = {11--24},
     publisher = {mathdoc},
     volume = {180},
     number = {1},
     year = {2003},
     doi = {10.4064/fm180-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm180-1-2/}
}
TY  - JOUR
AU  - Jo Heath
AU  - Van C. Nall
TI  - No arc-connected treelike continuum is the 2-to-1
  image of a continuum
JO  - Fundamenta Mathematicae
PY  - 2003
SP  - 11
EP  - 24
VL  - 180
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm180-1-2/
DO  - 10.4064/fm180-1-2
LA  - en
ID  - 10_4064_fm180_1_2
ER  - 
%0 Journal Article
%A Jo Heath
%A Van C. Nall
%T No arc-connected treelike continuum is the 2-to-1
  image of a continuum
%J Fundamenta Mathematicae
%D 2003
%P 11-24
%V 180
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm180-1-2/
%R 10.4064/fm180-1-2
%G en
%F 10_4064_fm180_1_2
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

Cité par Sources :