2016/10/06 by Ros, Luca Motto · 1 citation
#03E15 #54E50 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.1610.01750
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.