New posts in Metric Spaces

Is it possible to construct a continuous and bijective map from $\mathbb{R}^n$ to $[0,1]$?

In a metric space a sequence with no converging subsequences is discrete (?)

Why no flat metric on a sphere?

Disjoint open sets in a metric subspace corresponds to disjoint open sets in the original metric space.

Can this complete metric space be a Banach space?

Prove that a function between metric spaces $(X,d_{X})$ and $(Y,d_{Y})$ is continuous iff the pre-image of open sets is open

How to Motivate Open-Cover Formulation of Compactness in a Metric Space?

Why is the sequential criterion true in metric spaces? When does it fail in general?

A topology that is finer than a metrizable topology is also metrizable?

Are Disjoint Open Subsets Contained in Disjoint Open Sets in a General Topological Space?