Mathlib Map

Structures · Topology

IsLeftUniformGroup

A left-uniform group is a topological group endowed with the associated left uniform structure: the uniformity filter 𝓤 G is the inverse image of 𝓝 1 by the map (x, y) ↦ x⁻¹ * y. In other words, we declare that two points x and y are infinitely close precisely when x⁻¹ * y is infinitely close to 1.

Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Shape
One type argument · adds uniformity_eq

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