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Theorems · Definition · category theory

TopModuleCat.fromInduced

{R : Type u} →
  [inst : Ring R] →
    [inst_1 : TopologicalSpace R] →
      {M : ModuleCat R} →
        {I : Type u_1} →
          {X : I → TopModuleCat R} → (f : (i : I) → M ⟶ (X i).toModuleCat) → (i : I) → TopModuleCat.induced f ⟶ X i

The maps from the induced topology as homs in TopModuleCat R.

Defined in
Mathlib.Algebra.Category.ModuleCat.Topology.Basic
Cited by
0 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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TopModuleCat.ofCone · cited by 0TopModuleCat.ofConeQuiver.Hom · cited by 32603Quiver.HomTopologicalSpace · cited by 24529TopologicalSpaceRing · cited by 7463RingModuleCat · cited by 1429ModuleCatModuleCat.Hom.hom · cited by 341Hom.homTopModuleCat · cited by 45TopModuleCatTopModuleCat.toModuleCat · cited by 29TopModuleCat.toModuleCatTopModuleCat.ofHom · cited by 4TopModuleCat.ofHomTopModuleCat.induced · cited by 0TopModuleCat.inducedTopModuleCat.fromInducedCITED BYCITES

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