No arc-connected treelike continuum is the 2-to-1 image of a continuum
Fundamenta Mathematicae (2003)
- Volume: 180, Issue: 1, page 11-24
- ISSN: 0016-2736
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topJo Heath, and Van C. Nall. "No arc-connected treelike continuum is the 2-to-1 image of a continuum." Fundamenta Mathematicae 180.1 (2003): 11-24. <http://eudml.org/doc/282929>.
@article{JoHeath2003,
abstract = {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.},
author = {Jo Heath, Van C. Nall},
journal = {Fundamenta Mathematicae},
keywords = {dendroids; -to-1 maps; simple maps; decomposable; indecomposable},
language = {eng},
number = {1},
pages = {11-24},
title = {No arc-connected treelike continuum is the 2-to-1 image of a continuum},
url = {http://eudml.org/doc/282929},
volume = {180},
year = {2003},
}
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
VL - 180
IS - 1
SP - 11
EP - 24
AB - 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.
LA - eng
KW - dendroids; -to-1 maps; simple maps; decomposable; indecomposable
UR - http://eudml.org/doc/282929
ER -
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