New posts in Metric Spaces

What is a practical use for this metric?

How to prove that $X$ is a completion of $Y$, for some metric spcaes $(X,d)$ and $(Y,d)$?

Let $X$ and $Y$ be metric spaces, $X$ compact, and $T: X \to Y$ bijective and continuous. Show that $T$ is a homeomorphism.

Distance from a point in a set to a subset of that set is Lipschitz

In an ultrametric space, is every open set closed?

Word metric on a finitely generated subgroup versus the word metric of its finitely generated parent

Problem on completeness.

Prove that $A= \left\lbrace f \in X: \int_0^1f(x) dx>1 \right\rbrace$ is an open set in $(X,d)$.

Giving a sequential proof of the Heine-Borel theorem

Metric of spacetime with zero speed of light