{
  "abstract": "We construct an involutive duality on condensed spectra with locally compact homotopy groups, extending classical Pontryagin duality. We prove that dualization induces Pontryagin duality on homotopy groups, with degrees reversed, and that the canonical biduality map is an equivalence. In particular, every ordinary spectrum, viewed as a discrete condensed spectrum, satisfies biduality, without any finiteness assumptions on its homotopy groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18162",
  "author_total": 2,
  "authors": [
    {
      "name": "Roey Hel-Or"
    },
    {
      "name": "Amos Kaminski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/byenmv39dz686.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18162",
  "fulltext_url": null,
  "id": "byenmv39dz686",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18162",
  "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.AT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7213497312",
  "pdf_url": "https://arxiv.org/pdf/2609.18162",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/byenmv39dz686.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18162",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18162"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Condensed Brown Comenetz Duality",
  "title_text": "Condensed Brown Comenetz Duality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/byenmv39dz686",
  "venue": "arXiv",
  "versions": []
}