For Uniform Space we have a term and definition in Topology.

Uniform Space (Topology)

A uniform space is a set U equipped with a nonempty collection F of subsets of the Cartesian product X × X satisfying the following axioms:

1. if U is in F, then U contains { (x, x) | x in X }.
2. if U is in F, then { (y, x) | (x, y) in U } is also in F
3. if U is in F and V is a subset of X × X which contains U, then V is in F
4. if U and V are in F, then U n V is in F
5. if U is in F, then there exists V in F such that, whenever (x, y) and (y, z) are in V, then (x, z) is in U.

The elements of F are called entourages, and F itself is called a uniform structure on U.

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