A note for Gromov's distance functions on the space of mm-spaces

TL;DR

This paper comments on Gromov's distance functions on mm-spaces, highlighting the need for further exploration in metric geometry, though it does not present new empirical or theoretical results.

Contribution

It provides a brief note emphasizing the importance of further study on Gromov's distance functions in metric geometry.

Findings

Highlights the potential for future research in Gromov's distance functions

Encourages deeper investigation into metric geometry concepts

Serves as a call for more detailed studies in the area

Abstract

This is just a note for \cite[Chapter$3{1/2}_+$]{gromov}. Maybe this note is obvious for a reader who knows metric geometry. I wish that someone study further in this direction.