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arXiv · 2409.16772

The Klein bottle has stably unbounded homeomorphism group

Lukas Böke
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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.

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Lukas Böke. 2024-09-25. The Klein bottle has stably unbounded homeomorphism group. https://doi.org/10.1017/s0017089525000084

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