Quantum metric spaces extend the classical notion of metric spaces into the noncommutative realm by utilising operator algebras and associated seminorms to capture geometric structure in settings ...

Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...

In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but ...