Theorems · Definition · category theory

TopModuleCat.of

(R : Type u) →
  [inst : Ring R] →
    [inst_1 : TopologicalSpace R] →
      (M : Type v) →
        [inst_2 : AddCommGroup M] →
          [inst_3 : Module R M] →
            [inst_4 : TopologicalSpace M] → [ContinuousAdd M] → [ContinuousSMul R M] → TopModuleCat R

Make an object in TopModuleCat R from an unbundled topological module.

Defined in

Mathlib.Algebra.Category.ModuleCat.Topology.Basic

Cited by

4 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingTopologicalSpaceAddCommGroupModuleTopologicalSpaceContinuousAddContinuousSMul