Fixed points of the bucket handle
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- by Jan M. Aarts and Robbert J. Fokkink PDF
- Proc. Amer. Math. Soc. 126 (1998), 881-885 Request permission
Abstract:
If a homeomorphism on the bucket handle has an invariant composant, it has a fixed point in that composant. It follows that a homeomorphism on the bucket handle has at least two fixed points. Our methods apply to general Knaster continua.References
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Additional Information
- Jan M. Aarts
- Affiliation: Technical University Delft, Faculty of Mathematics and Informatics, P.O. Box 5031, 2600 GA Delft, the Netherlands
- Email: j.m.aarts@twi.tudelft.nl
- Robbert J. Fokkink
- Affiliation: Delft Hydraulics, Rotterdamseweg 181, 2600 MH Delft, the Netherlands
- Email: fokkink@nsld.wldelft.nl
- Received by editor(s): December 15, 1995
- Communicated by: James West
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 881-885
- MSC (1991): Primary 54H25, 54F15; Secondary 54H11
- DOI: https://doi.org/10.1090/S0002-9939-98-04420-7
- MathSciNet review: 1459100