Mathlib Map

Theorems · Definition · category theory

SemiNormedGrp.completion.mapHom

(V W : SemiNormedGrp) → (V ⟶ W) →+ (SemiNormedGrp.completion.obj V ⟶ SemiNormedGrp.completion.obj W)

Given a normed group hom V ⟶ W, this defines the associated morphism from the completion of V to the completion of W. The difference from the definition obtained from the functoriality of completion is in that the map sending a morphism f to the associated morphism of completions is itself additive.

Defined in
Mathlib.Analysis.Normed.Group.SemiNormedGrp.Completion
Cited by
1 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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SemiNormedGrp.completion.map_zero · cited by 0completion.map_zeroQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapAddMonoidHom · cited by 3230AddMonoidHomSemiNormedGrp · cited by 66SemiNormedGrpAddMonoidHom.mk' · cited by 25AddMonoidHom.mk'SemiNormedGrp.completion · cited by 8SemiNormedGrp.completioncompletion.mapHomCITED BYCITES

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