# Category: Metric spaces

Busemann G-space
In mathematics, a Busemann G-space is a type of metric space first described by Herbert Busemann in 1942. If is a metric space such that 1. * for every two distinct there exists such that 2. * every
Metric space
In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function called a metric or distance function. Met
Metrizable topological vector space
In functional analysis and related areas of mathematics, a metrizable (resp. pseudometrizable) topological vector space (TVS) is a TVS whose topology is induced by a metric (resp. pseudometric). An LM
Karlsruhe metric
In metric geometry, the Karlsruhe metric is a measure of distance that assumes travel is only possible along rays through the origin and circular arcs centered at the origin. The name alludes to the l
Metric lattice
In the mathematical study of order, a metric lattice L is a lattice that admits a positive valuation: a function v∈L→ℝ satisfying, for any a,b∈L, and