{
  "$type": "site.standard.document",
  "bskyPostRef": {
    "cid": "bafyreihowtkev2vczyxlox6lhqvi2deebjk473vsgf5ha3c5f6d2wstnvi",
    "uri": "at://did:plc:4rgrdigiftglskeax4wvmsev/app.bsky.feed.post/3mibqeb5ybz72"
  },
  "coverImage": {
    "$type": "blob",
    "ref": {
      "$link": "bafkreiflo6xt7is6b2iafwghkjahlgggocme5jwjsbeuqqwcywuvjhmszm"
    },
    "mimeType": "image/png",
    "size": 24783
  },
  "path": "/abs/2603.26652v1",
  "publishedAt": "2026-03-30T00:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "James Davies"
  ],
  "textContent": "**Authors:** James Davies\n\nWe construct a complete Riemannian surface $Σ$ that admits no triangulation $G\\subset Σ$ such that the inclusion $G^{(1)} \\hookrightarrow Σ$ is a quasi-isometry, where $G^{(1)}$ is the simplicial 1-skeleton of $G$. Our construction is without boundary, has arbitrarily large systole, and furthermore, there is no embedded graph $G\\subsetΣ$ such that $G^{(1)} \\hookrightarrow Σ$ is a quasi-isometry. This answers a question of Georgakopoulos.",
  "title": "Surfaces without quasi-isometric simplicial triangulations"
}