All-set-homogeneous spaces

Lebedeva, N.; Petrunin, A.

doi:10.1090/spmj/1814

All-set-homogeneous spaces
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by N. Lebedeva and A. Petrunin;
Translated by: the authors

St. Petersburg Math. J. 35 (2024), 473-476

DOI: https://doi.org/10.1090/spmj/1814

Published electronically: July 30, 2024

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Abstract:

A metric space is said to be all-set-homogeneous if any isometry between its subsets can be extended to an isometry of the whole space. A classification of a certain subclass of all-set-homogeneous length spaces is given.

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