A note on fixed points of abelian actions in dimension one
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- by J. P. Boroński
- Proc. Amer. Math. Soc. 147 (2019), 1653-1655
- DOI: https://doi.org/10.1090/proc/14365
- Published electronically: December 12, 2018
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Abstract:
The result of Boyce and Huneke gives rise to a 1-dimensional continuum, which is the intersection of a descending family of disks that admits two commuting homeomorphisms without a common fixed point.References
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Bibliographic Information
- J. P. Boroński
- Affiliation: National Supercomputing Centre IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30. dubna 22, 701 03 Ostrava, Czech Republic – and – Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland
- ORCID: 0000-0002-1802-4006
- Email: jan.boronski@osu.cz
- Received by editor(s): March 25, 2018
- Received by editor(s) in revised form: August 15, 2018
- Published electronically: December 12, 2018
- Additional Notes: The author was supported by University of Ostrava grant lRP201824 “Complex topological structures” and the NPU II project LQ1602 IT4Innovations excellence in science.
- Communicated by: Nimish Shah
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 1653-1655
- MSC (2010): Primary 37B05, 37B45
- DOI: https://doi.org/10.1090/proc/14365
- MathSciNet review: 3910429