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Morse边界的Cannon-Thurston映射（非）存在性

几何拓扑 2024-11-20 v2 群论

作者: Ruth Charney , Matthew Cordes , Antoine Goldsborough , Alessandro Sisto , Stefanie Zbinden

在 arXiv 上查看 ↗ PDF ↗

摘要

我们表明，Morse边界在正规子群情形下既存在又不存在Cannon-Thurston映射，这与双曲情形不同。

关键词

Morse边界 Cannon-Thurston映射正规子群双曲群

引用

@article{arxiv.2405.17572,
  title  = {(Non-)existence of Cannon-Thurston maps for Morse boundaries},
  author = {Ruth Charney and Matthew Cordes and Antoine Goldsborough and Alessandro Sisto and Stefanie Zbinden},
  journal= {arXiv preprint arXiv:2405.17572},
  year   = {2024}
}

备注

7 pages, arguments streamlined and minor edits, accepted to Bulletin of the LMS