Fixed points in indecomposable $k$-junctioned tree-like continua
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- by Charles L. Hagopian PDF
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Abstract:
Let $M$ be an indecomposable $k$-junctioned tree-like continuum. Let $f$ be a map of $M$ that sends each composant of $M$ into itself. Using an argument of O. H. Hamilton, we prove that $f$ has a fixed point.References
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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
- Received by editor(s): December 4, 2008
- Received by editor(s) in revised form: December 22, 2008, and August 1, 2009
- Published electronically: 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 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 1511-1515
- MSC (2010): Primary 54F15, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-09-10165-X
- MathSciNet review: 2578546