All-set-homogeneous spaces

2022/10/08 by Nina Lebedeva, Anton Petrunin, Lebedeva, Nina +1
Decision Sciences · Mathematics · #51F10 51F20 22F30 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2211.09671

openalex publication_date 2022/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A metric space is said to be all-set-homogeneous if any of its partial isometries can be extended to a genuine isometry. We give a classification of a certain subclass of all-set-homogeneous length spaces.

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