Theorems · Definition · Lie groups

ModuleFilterBasis.topology

{R : Type u_1} →
  {M : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : TopologicalSpace R] →
        [inst_2 : AddCommGroup M] → [inst_3 : Module R M] → ModuleFilterBasis R M → TopologicalSpace M

The topology associated to a module filter basis on a module over a topological ring. It has the given basis as a basis of neighborhoods of zero.

Defined in

Mathlib.Topology.Algebra.FilterBasis

Cited by

3 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringTopologicalSpaceAddCommGroupModule