{
  "abstract": "Given $p$-maps $f_1, \\cdots, f_p : X \\to M,$ $p \\geq 2,$ from an arbitrary topological space to an orientable closed connected $m$-manifold, in this paper we define a graded homomorphism $Λ_{f_1 \\cdots f_p}: H(X) \\to H(M^{p-1})$ of degree $-m(p-1)$ called by Lefschetz homomorphism. If the Lefschetz homomorphism is nontrivial then there is a point $x \\in X$ such that $f_1(x) = \\cdots = f_p(x).$ The Lefschetz homomorphism $Λ_{f_1 \\cdots f_p}$ can be represented as a Knill-like trace.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.12183",
  "author_total": 2,
  "authors": [
    {
      "name": "Pryscilla dos Santos Ferreira Silva"
    },
    {
      "name": "Weslem Liberato Silva"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ea5jhn27r05a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.12183",
  "fulltext_url": null,
  "id": "0ea5jhn27r05a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.12183",
  "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": "W7168379924",
  "pdf_url": "https://arxiv.org/pdf/2607.12183",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ea5jhn27r05a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2607.12183",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.12183"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A Lefschetz type homomorphism for coincidence of several maps",
  "title_text": "A Lefschetz type homomorphism for coincidence of several maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/0ea5jhn27r05a",
  "venue": "arXiv",
  "versions": []
}