{
  "annotation_id": "a1860067-a48d-4605-8398-ddee4f4eff98",
  "date_created": "2026-02-17T05:53:24.373000Z",
  "date_modified": "2026-02-17T05:53:24.373000Z",
  "file_hash": "90d3240ff84fffa6a3cb6225ea074022c9b54cfd89464bee0f34c09526da0a7f",
  "private": false,
  "record": {
    "abstract": "We define a real-valued distance metric $wd$ on the space $\\mathcal{C}$ of short combinatorial games in canonical form. We demonstrate the existence of Cauchy sequences informed by sidling sequences, find limit points, and investigate the closure $\\overline{\\mathcal{C}}$, which is shown to partition the set of loopy games in a non-trivial way. Stoppers, enders, and non-stopper-sided loopy games are explored, as well as the topological properties of $(\\mathcal{C},wd)$.",
    "arxiv_id": "2601.10574",
    "authors": [
      "Kyle Burke",
      "Michael Fisher",
      "Craig Tennenhouse"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Mind the gap: A real-valued distance on combinatorial games",
    "url": "https://arxiv.org/abs/2601.10574",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ede896fc-7516-4f62-9da1-17eded3aa8fe",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}