{
  "abstract": "We study a family of fibre-cofibre sequences in the ∞-category of exact ∞-categories, which we call Keller sequences, generalising the notion of Verdier sequences of stable ∞-categories. We show that algebraic K-theory is localising with respect to this family, and use this to give a categorical proof of Quillen's resolution theorem. Our arguments hinge upon a mapping space characterisation of special inclusions as studied by Keller, from which we deduce another proof of Keller's theorem that such inclusions induce fully faithful functors on stable envelopes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01473",
  "author_total": 2,
  "authors": [
    {
      "name": "Yonatan Harpaz"
    },
    {
      "name": "Daniel Marlowe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/br56d08sdq17g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01473",
  "fulltext_url": null,
  "id": "br56d08sdq17g",
  "issns": [],
  "landing_url": "https://hal.science/hal-05734807v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AT"
    ],
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      "arxiv",
      "math.KT"
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      "0.math"
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  "pdf_url": "https://hal.science/hal-05734807/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/br56d08sdq17g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:24Z",
      "native_id": "hal-05734807",
      "source": "hal",
      "url": "https://hal.science/hal-05734807v1"
    },
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.01473",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01473"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Keller sequences of exact ∞-categories",
  "title_text": "Keller sequences of exact ∞-categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/br56d08sdq17g",
  "venue": "HAL",
  "versions": []
}