New posts in metric-spaces

Total variation metric space and its equivalence classes

real-analysis metric-spaces

Identify the boundary of $\mathbb{Q}$ in the discrete metric space $\mathbb{R}$

real-analysis metric-spaces

Distance of a point to a subset.

metric-spaces continuity compactness

How to show whether two metrics generate the same topology

general-topology metric-spaces

Open Ball in a Metric Space vs. Open Set in a Topological Space

general-topology metric-spaces intuition

Find the closure of $C^{1}[-1, 1]$ in the space ${(\scr{B}} [-1, 1],||•||_\infty)$

functional-analysis metric-spaces normed-spaces

every isometry is a homeomorphism

metric-spaces

How to show the intersection of arbitrary compact sets is compact in a general metric space?

analysis metric-spaces compactness

Compactness, Local Compactness, Completeness

metric-spaces examples-counterexamples compactness

How is the discrete metric continuous?

real-analysis continuity metric-spaces

Examples of metric spaces which are not normed linear spaces?

general-topology functional-analysis metric-spaces examples-counterexamples normed-spaces

About the Wasserstein "metric"

measure-theory probability-theory metric-spaces

Bi-Lipschitz maps and identity

functional-analysis metric-spaces projection

Prove that sequence space $\ell_p(\mathbb R)$ is separable

functional-analysis metric-spaces lp-spaces separable-spaces

Is every metric space a subspace of some connected metric space?

general-topology metric-spaces connectedness

Why is a metric space an open subset of itself?

general-topology metric-spaces

Is the metric space $(\mathbb{R}^\omega, d_f) $ separable?

functional-analysis metric-spaces normed-spaces

Does a continuous function take Cauchy sequences to Cauchy sequences?

metric-spaces continuity cauchy-sequences

Nonsingularity of Euclidean distance matrix

linear-algebra metric-spaces

Second Countability of Euclidean Spaces

real-analysis general-topology analysis metric-spaces