Tree-like continua with invariant composants under fixed-point-free homeomorphisms
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- by C. L. Hagopian, M. M. Marsh and J. R. Prajs PDF
- Proc. Amer. Math. Soc. 140 (2012), 3655-3661 Request permission
Abstract:
Using an example of D. P. Bellamy, we define a 3-composant tree-like continuum admitting a fixed-point-free homeomorphism that sends each composant onto itself. This continuum is used to define an indecomposable tree-like continuum that admits a composant-preserving fixed-point-free homeomorphism. A map extension theorem is proved and applied in this construction.References
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Additional Information
- C. L. Hagopian
- Affiliation: Department of Mathematics and Statistics, California State University, Sacramento, 6000 J Street, Sacramento, California 95819
- Email: hagopian@csus.edu
- M. M. Marsh
- Affiliation: Department of Mathematics and Statistics, California State University, Sacramento, 6000 J Street, Sacramento, California 95819
- Email: mmarsh@csus.edu
- J. R. Prajs
- Affiliation: Department of Mathematics and Statistics, California State University, Sacramento, 6000 J Street, Sacramento, California 95819
- Email: prajs@csus.edu
- Received by editor(s): December 8, 2010
- Published electronically: May 9, 2012
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3655-3661
- MSC (2010): Primary 54F15, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-2012-11727-7
- MathSciNet review: 2929033