Locally similar distances and equality of the induced intrinsic distances

Erick Lee-Guzmán, Egor A. Maximenko, Enrique Abdeel Muñoz-de-la-Colina +1

Let $X$ be a set and $d_1,d_2$ be two distances on $X$. We say that $d_1$ and $d_2$ are locally similar and write $d_1\cong d_2$ if $d_1$ and $d_2$ are topologically equivalent and…