A higher dimensional version of Fáry's theorem
Abstract We prove a generalization of István Fáry's celebrated theorem to higher dimensions. Namely, we show that if a finite simplicial complex can be piecewise linearly embedded into a ‐dimensional PL manifold , then there is a triangulation of containing as a subcomplex.
Authors
- Zuzana Patáková (ORCID: https://orcid.org/0000-0002-3975-1683)
- Karim Adiprasito (ORCID: https://orcid.org/0000-0002-6427-687X)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris Cité (FR)
- Charles University (CZ)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
- Sorbonne Université (FR)
- Sorbonne Paris Cité (FR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-02-27
- DOI
- https://doi.org/10.1112/blms.70036
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Grantová Agentura České Republiky