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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A Weakly Chainable Tree-Like Continuum without the Fixed Point Property


Author: Piotr Minc
Journal: Trans. Amer. Math. Soc. 351 (1999), 1109-1121
MSC (1991): Primary 54F15; Secondary 54H25
MathSciNet review: 1451610
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Abstract: An example of a fixed points free map is constructed on a tree-like, weakly chainable continuum.


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Additional Information

Piotr Minc
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
Email: mincpio@mail.auburn.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02071-1
PII: S 0002-9947(99)02071-1
Keywords: Tree-like continuum, weakly chainable, fixed point property
Received by editor(s): May 20, 1996
Received by editor(s) in revised form: March 6, 1997
Additional Notes: This research was supported in part by NSF grant # DMS-9505108.
The author is grateful to Charles L. Hagopian for suggesting several valuable improvements
Article copyright: © Copyright 1999 American Mathematical Society