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A Periodic Point Free Homeomorphism of a Tree-Like Continuum
Author(s):
Piotr
Minc
Journal:
Trans. Amer. Math. Soc.
348
(1996),
1487-1519.
MSC (1991):
Primary 54F15;
Secondary 54F20
MathSciNet review:
1321584
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Abstract:
An example of a homeomorphism without periodic points is constructed on a tree-like continuum.
References:
- 1.
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- 2.
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- 3.
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- K. Borsuk, Theory of shape, Polish Scientific Publishers, Warsaw, Poland, 1975. MR 54:6132
- 5.
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- 11.
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- L. G. Oversteegen and J. T. Rogers, Jr., An inverse limit description of an atriodic tree-like continuum and an induced map without a fixed point, Houston J. Math. 6 (1980), 549--564. MR 82j:54075
- 14.
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- 15.
- R. B. Sher, Realizing cell-like maps in Euclidean space, General Topology and its Appl. 2 (1972), 75--89. MR 46:2683
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Additional Information:
Piotr
Minc
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36849
Email:
mincpio@mail.auburn.edu
DOI:
10.1090/S0002-9947-96-01477-8
PII:
S 0002-9947(96)01477-8
Keywords:
Tree-like continuum,
periodic points
Received by editor(s):
March 8, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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