The Klein bottle has stably unbounded homeomorphism group
Abstract Using a recent result of Bowden, Hensel and Webb, we prove the existence of a homeomorphism with positive stable commutator length in the group of homeomorphisms of the Klein bottle which are isotopic to the identity.
Authors
- Lukas Böke
Institutions
- LMU Klinikum (DE)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Glasgow Mathematical Journal
- Published
- 2025-04-04
- DOI
- https://doi.org/10.1017/s0017089525000084
- Citations
- 2
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 8.18