{
  "abstract": "For a map of Tambara functors $R \\rightarrow T$ we define when $T$ is separable over $R$ and if $T$ carries an action by some finite group $H$ that fixes $R$ we also define when $R \\rightarrow T$ is an $H$-Galois extension of Tambara functors. We show that flat and separable extensions are (formally) étale in the sense of Hill and that Galois extensions are separable. We prove that the Burnside Tambara functor is separably closed and we express Nullstellensatzian Tambara functors as filtered colimits of Galois extensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.04411",
  "author_total": 1,
  "authors": [
    {
      "name": "Birgit Richter"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4qdmw8wmvvqfr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.04411",
  "fulltext_url": null,
  "id": "4qdmw8wmvvqfr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.04411",
  "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": "W7167571591",
  "pdf_url": "https://arxiv.org/pdf/2607.04411",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4qdmw8wmvvqfr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2607.04411",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.04411"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Galois and separable extensions of Tambara functors",
  "title_text": "Galois and separable extensions of Tambara functors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/4qdmw8wmvvqfr",
  "venue": "arXiv",
  "versions": []
}