The Klein bottle has stably unbounded homeomorphism group
arXiv:2409.16772 · doi:10.1017/S0017089525000084
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.
9 pages, 1 figure. Improved exposition, updated to reflect changes in main reference. Accepted by Glasgow Mathematical Journal