Expansive maps are isometries

2015/07/08 by Orest Bucicovschi, David Meyer, David A. Meyer +2
Computer Science · Mathematics · #51K05 #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #math.MG #msc:51K05

paper · pdf · doi:10.48550/arxiv.1507.05044

2 pages

arxiv created 2015/07/08 · openalex publication_date 2015/07/08 · arxiv updated 2015/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that expansive maps from a dense subset of a compact metric space into the metric space itself are isometries

Related

• On supports of expansive measures
• On non-expansive mappings of Banach spaces
• Metrics without isometries are generic
• Positively expansive homeomorphisms of compact spaces
• On extensions of partial isometries