Locality (Math)

Locality (Math)

Updated: October 21, 2020
Math Topology Set-Theory

Locality refers to:

A property \(P\), of a point \(x\), which holds true near every point around \(x\).

As an example:

A sphere (and, more generally, a manifold) is locally Euclidean. For every point on the sphere there is a neighborhood which is identical to Euclidean space.