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Fixed points in indecomposable  -junctioned tree-like continua
Author(s):
Charles
L.
Hagopian
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1511-1515.
MSC (2010):
Primary 54F15, 54H25
Posted:
November 12, 2009
MathSciNet review:
2578546
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Abstract:
Let  be an indecomposable  -junctioned tree-like continuum. Let  be a map of  that sends each composant of  into itself. Using an argument of O. H. Hamilton, we prove that  has a fixed point.
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Additional Information:
Charles
L.
Hagopian
Affiliation:
Department of Mathematics and Statistics, California State University, Sacra- mento, 6000 J Street, Sacramento, California 95819
Email:
hagopian@csus.edu
DOI:
10.1090/S0002-9939-09-10165-X
PII:
S 0002-9939(09)10165-X
Keywords:
Fixed point,
indecomposable,
composant-preserving map,
$k$-junctioned,
tree-like continuum.
Received by editor(s):
December 4, 2008,
Received by editor(s) in revised form:
December 22, 2008, and August 1, 2009
Posted:
November 12, 2009
Additional Notes:
The author wishes to thank Marcus Marsh, Janusz Prajs, and the referee for suggestions that led to the improvement of this paper and Michael Heacock for drawing Figure 1.
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2009,
American Mathematical Society
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