{
  "abstract": "For every integer $N\\ge4$, we construct a compact noncollapsed Ricci limit $X$ of closed$N$-manifolds with nonnegative Ricci curvature such that$0<\\mathcal H^{N-2}(S_{\\mathrm{top}}(X))<\\infty$, where $S_{\\mathrm{top}}(X)$ is the nonmanifold locus.There is a compact subset $Z\\subset S_{\\mathrm{top}}(X)$ of positive $(N-2)$-dimensionalHausdorff measure such that, for every subset $E\\subset X$ with$\\dim_{\\mathcal H}E",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Nifa Anass"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/093pstzdbfgq3.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.22729669",
  "fulltext_url": null,
  "id": "093pstzdbfgq3",
  "issns": [],
  "landing_url": "https://hal.science/hal-05748042v2",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-dg"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05748042/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/093pstzdbfgq3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:43Z",
      "native_id": "hal-05748042",
      "source": "hal",
      "url": "https://hal.science/hal-05748042v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-dg",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Homological obstructions to local contractibility in noncollapsed Ricci limits",
  "title_text": "Homological obstructions to local contractibility in noncollapsed Ricci limits",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:43Z",
  "url": "https://research.draconitic.com/paper/093pstzdbfgq3",
  "venue": "HAL",
  "versions": []
}