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A non-treelike continuum that is not the 2-to-1 image of any continuum
Author(s):
Jo
W.
Heath
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3571-3578.
MSC (1991):
Primary 54C10
MathSciNet review:
1371126
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Abstract:
Some thirteen years ago S. B. Nadler, Jr. and L. E. Ward, Jr., asked if any treelike continuum could be the 2-to-1 image of a continuum. In fact, it has been conjectured that the property of being treelike characterizes those continua that are not the 2-to-1 image of any continuum. But the characterization must be something else; this paper shows that many pseudo-solenoids are not the 2-to-1 image of any continuum.
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Additional Information:
Jo
W.
Heath
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36849-531
Email:
heathjw@mail.auburn.edu
DOI:
10.1090/S0002-9939-96-03735-5
PII:
S 0002-9939(96)03735-5
Keywords:
Pseudo-circle,
pseudo-solenoid,
2-to-1 map,
treelike continuum,
indecomposable continuum,
hereditarily indecomposable continuum
Received by editor(s):
May 25, 1995
Communicated by:
James E. West
Copyright of article:
Copyright
1996,
American Mathematical Society
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