The Gromov–Hausdorff distance between compact metric spaces

Authors

  • Rafael Martínez Vergara Universitat de Barcelona

Keywords:

Hausdorff, metric, correspondance

Abstract

Aquest treball proporciona una introducció a la distancia de Gromov–Hausdorff, discutim la seva definició original i la seva relació amb les correspondències entre espais. Demostrem que la distància de Gromov–Hausdorff serveix com a mètrica per al conjunt de classes d’isometria d’espais mètrics compactes. Els objectius principals d’aquest estudi són establir l’existència d’una pedomètrica en la unió disjunta de X amb Y que aconsegueix la distància de Gromov–Hausdorff entre espais compactes X i Y, i per establir límits per al Gromov–Hausdorff distància entre esferes de diferents dimensions.

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Published

2024-01-26

How to Cite

Martínez Vergara, R. (2024). The Gromov–Hausdorff distance between compact metric spaces. Reports@SCM, 8(1), 59–60. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151069

Issue

Vol. 8 No. 1 (2023)

Section

Extended abstracts

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