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Theorems · Definition · category theory

TopModuleCat.freeMap

(R : Type u) →
  [inst : Ring R] →
    [inst_1 : TopologicalSpace R] → {X Y : TopCat} → (X ⟶ Y) → (TopModuleCat.freeObj R X ⟶ TopModuleCat.freeObj R Y)

The free topological module over a topological space is functorial.

Defined in
Mathlib.Algebra.Category.ModuleCat.Topology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingTopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TopModuleCat.free · cited by 2TopModuleCat.freeTopModuleCat.freeMap_map · cited by 0TopModuleCat.freeMap_mapTopModuleCat.free_map · cited by 0TopModuleCat.free_mapDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomTopologicalSpace · cited by 24529TopologicalSpaceRing · cited by 7463RingTopCat · cited by 1889TopCatTopCat.Hom.hom · cited by 169Hom.homFinsupp.lmapDomain · cited by 63Finsupp.lmapDomainTopModuleCat · cited by 45TopModuleCatCategoryTheory.ConcreteCategory.ofHom · cited by 18ConcreteCategory.ofHomTopModuleCat.freeObj · cited by 4TopModuleCat.freeObjTopModuleCat.freeMapCITED BYCITES

Cites10

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Cited by3

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