--- res: bibo_abstract: - 'We consider the following setting: suppose that we are given a manifold M in Rd with positive reach. Moreover assume that we have an embedded simplical complex A without boundary, whose vertex set lies on the manifold, is sufficiently dense and such that all simplices in A have sufficient quality. We prove that if, locally, interiors of the projection of the simplices onto the tangent space do not intersect, then A is a triangulation of the manifold, that is, they are homeomorphic.@eng' bibo_authorlist: - foaf_Person: foaf_givenName: Jean-Daniel foaf_name: Boissonnat, Jean-Daniel foaf_surname: Boissonnat - foaf_Person: foaf_givenName: Ramsay foaf_name: Dyer, Ramsay foaf_surname: Dyer - foaf_Person: foaf_givenName: Arijit foaf_name: Ghosh, Arijit foaf_surname: Ghosh - foaf_Person: foaf_givenName: Andre foaf_name: Lieutier, Andre foaf_surname: Lieutier - foaf_Person: foaf_givenName: Mathijs foaf_name: Wintraecken, Mathijs foaf_surname: Wintraecken foaf_workInfoHomepage: http://www.librecat.org/personId=307CFBC8-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-7472-2220 bibo_doi: 10.1007/s00454-020-00233-9 bibo_volume: 66 dct_date: 2021^xs_gYear dct_identifier: - UT:000558119300001 dct_isPartOf: - http://id.crossref.org/issn/0179-5376 - http://id.crossref.org/issn/1432-0444 dct_language: eng dct_publisher: Springer Nature@ dct_title: Local conditions for triangulating submanifolds of Euclidean space@ ...