Work

A higher dimensional version of Fáry's theorem

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70036

Authors: Karim Adiprasito, Zuzana Patáková

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, Charles University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Grantová Agentura České Republiky, HORIZON EUROPE Framework Programme, HORIZON EUROPE European Research Council