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Morse subsets of CAT(0) spaces are strongly contracting

Group Theory 2023-11-27 v1

Abstract

We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets.

Keywords

Cite

@article{arxiv.1810.02119,
  title  = {Morse subsets of CAT(0) spaces are strongly contracting},
  author = {Christopher H. Cashen},
  journal= {arXiv preprint arXiv:1810.02119},
  year   = {2023}
}

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3 pages