Can we classify complete metric spaces up to isometry?

Luca Motto Ros

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arXiv · 1610.01750

Can we classify complete metric spaces up to isometry?

Luca Motto Ros

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Abstract

We survey some old and new results concerning the classification of complete metric spaces up to isometry, a theme initiated by Gromov, Vershik and others. All theorems concerning separable spaces appeared in various papers in the last twenty years: here we tried to present them in a unitary and organic way, sometimes with new and/or simplified proofs. The results concerning non-separable spaces (and, to some extent, the setup and techniques used to handle them) are instead new, and suggest new lines of investigation in this area of research.

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Luca Motto Ros. 2016-10-06. Can we classify complete metric spaces up to isometry?. https://arxiv.org/abs/1610.01750

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