---
res:
  bibo_abstract:
  - 'Simplicial approximation provides a framework for constructing simplicial complexes
    that are homotopy equivalent to a given manifold, provided a CW structure is explicitly
    known. However, its conventional implementation quickly becomes intractable on
    a computer: barycentric subdivision produces poorly shaped simplices, and the
    star condition introduces many vertices. To address these limitations, this article
    develops a subdivision scheme based on spherical Delaunay triangulations, which
    attains better refinement properties than barycentric subdivisions. Moreover,
    the star condition is reframed as two independent problems, one geometric and
    the other combinatorial, respectively tackled in the language of locally equiconnected
    spaces and the list homomorphism problem, allowing an exponential reduction in
    the number of vertices. Via a prototype implementation, we obtain simplicial complexes
    homotopy equivalent to Grassmannians and Stiefel manifolds up to dimension 5.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Raphaël
      foaf_name: Tinarrage, Raphaël
      foaf_surname: Tinarrage
      foaf_workInfoHomepage: http://www.librecat.org/personId=40ebcc9d-905f-11ef-bf0a-dc475da8a04e
    orcid: 0000-0002-1404-1095
  bibo_doi: 10.4230/LIPIcs.SoCG.2026.93
  bibo_volume: 367
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1868-8969
  - http://id.crossref.org/issn/9783959774185
  dct_language: eng
  dct_publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik@
  dct_subject:
  - Triangulation of manifolds
  - Simplicial approximation
  - CW complexes
  - Delaunay complexes
  - List homomorphism problem
  - Topological Data Analysis
  dct_title: Simplicial approximation to CW complexes with spherical Delaunay triangulations@
...