{
  "abstract": "Relying merely on B.I. (a.k.a. Bowditch's intelligence), we show that whenever a group $G$ admits a convergence action on a compact perfect metrizable space $M$, there is a hyperbolic space $X$ along with a proper isometric action of $G$ on $X$ inducing a $G$-equivariant homeomorphism $f:M \\rightarrow \\partial X.$ This answers a question by Misha Kapovich.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36211",
  "author_total": 2,
  "authors": [
    {
      "name": "Lihuang Ding"
    },
    {
      "name": "Abdul Zalloum"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/345c2z9cd00cd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36211",
  "fulltext_url": null,
  "id": "345c2z9cd00cd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36211",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7224116008",
  "pdf_url": "https://arxiv.org/pdf/2610.36211",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/345c2z9cd00cd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36211",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36211"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Recognizing convergence actions as proper isometric actions on hyperbolic spaces",
  "title_text": "Recognizing convergence actions as proper isometric actions on hyperbolic spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/345c2z9cd00cd",
  "venue": "arXiv",
  "versions": []
}