{
  "abstract": "Here we study the problem of whether a given codimension one immersion $f$ of a closed and connected manifold into Euclidean space can be extended to an equidimensional immersion $F$ of some compact manifold $M$ whose restriction to the boundary parameterizes the image $S$ of $f$. Such an extension $F$ exists if and only if (i) simple conditions on orientations and wrapping numbers are satisfied and (ii) a distinguished finite subset of the first cohomology of $S$ with coefficients in a certain sheaf of finite groups contains the preferred point.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25618",
  "author_total": 1,
  "authors": [
    {
      "name": "Austin Konkel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d2tgxd8pn863n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25618",
  "fulltext_url": null,
  "id": "d2tgxd8pn863n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25618",
  "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.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7223038038",
  "pdf_url": "https://arxiv.org/pdf/2610.25618",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d2tgxd8pn863n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25618",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25618"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Which Immersions into Euclidean Space are Boundary Immersions?",
  "title_text": "Which Immersions into Euclidean Space are Boundary Immersions?",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/d2tgxd8pn863n",
  "venue": "arXiv",
  "versions": []
}