2021/08/31 by Sébastien Gouëzel, Gouëzel, Sébastien
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Computer and information sciences #FOS: Mathematics #History and Theory of Mathematics #Logic in Computer Science (cs.LO) #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.2108.13660
openalex publication_date 2021/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Gromov-Hausdorff space is usually defined in textbooks as "the space of all compact metric spaces up to isometry". We describe a formalization of this notion in the Lean proof assistant, insisting on how we need to depart from the usual informal viewpoint of mathematicians on this object to get a rigorous formalization.