New posts in metric-spaces

Understanding isometric spaces

metric-spaces intuition

Generalization of metric spaces?

general-topology metric-spaces order-theory

Smallest diameter of a balanced subset of the Hamming cube

discrete-mathematics metric-spaces discrete-optimization

Is the function $d(x,y) = \frac{\|x-y\|}{\|x\|\|y\|}$ a metric?

real-analysis metric-spaces

In a metric space, is every open subset a non-redundant union of open balls?

general-topology metric-spaces

How to prove that the uniform topology is different from both the product and the box topology?

general-topology metric-spaces

The space of sequences as a complete metric space

sequences-and-series functional-analysis metric-spaces

Interior of cartesian product is cartesian product of interiors

general-topology metric-spaces

Not-too-non-compact metric spaces

general-topology metric-spaces

Is $(\mathbb{Z},d)$ compact?

metric-spaces compactness integers p-adic-number-theory

What is the difference between a ball and a neighbourhood?

general-topology metric-spaces

are singletons always closed?

real-analysis general-topology metric-spaces

Are some discrete (and all finite) metric spaces complete?

metric-spaces

$U\subset [0,\infty)$ is open and unbounded $\Rightarrow \exists x$ such that $U\cap \{nx;n\in \mathbb N\}$ is infinite.

real-analysis general-topology metric-spaces

What's $\mathbb{R}$ doing in the definition of a metric space? [duplicate]

general-topology metric-spaces

Give examples of clopen (open and closed) sets

real-analysis general-topology metric-spaces examples-counterexamples

Lower semi-continuity of one dimensional Hausdorff measure under Hausdorff convergence

real-analysis analysis metric-spaces metric-geometry

Solution Set Inequality Continuous Function, Probability Theory

probability inequality metric-spaces self-learning

Quasi-isometry of finitely generated group

metric-spaces isometry geometric-group-theory cayley-graphs

Is the space $B([a,b])$ separable?

real-analysis general-topology analysis functional-analysis metric-spaces