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Theorems · Definition · category theory

UniformSpaceCat.extensionHom

{X : UniformSpaceCat} →
  {Y : CpltSepUniformSpace} →
    (X ⟶ (CategoryTheory.forget₂ CpltSepUniformSpace UniformSpaceCat).obj Y) →
      (UniformSpaceCat.completionFunctor.obj X ⟶ Y)

The mate of a morphism from a UniformSpace to a CpltSepUniformSpace.

Defined in
Mathlib.Topology.Category.UniformSpace
Cited by
2 results in Mathlib
Foundations
Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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UniformSpaceCat.extensionHom_val · cited by 0UniformSpaceCat.extension…UniformSpaceCat.extension_comp_hom · cited by 0UniformSpaceCat.extension…UniformSpaceCat.adj · cited by 0UniformSpaceCat.adjDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homUniformContinuous · cited by 410UniformContinuousCategoryTheory.forget₂ · cited by 260CategoryTheory.forget₂UniformSpaceCat · cited by 20UniformSpaceCatUniformSpaceCat.carrier · cited by 20UniformSpaceCat.carrierCategoryTheory.ConcreteCategory.ofHom · cited by 18ConcreteCategory.ofHomUniformSpace.Completion.extension · cited by 16Completion.extensionCpltSepUniformSpace · cited by 9CpltSepUniformSpaceCpltSepUniformSpace.α · cited by 7CpltSepUniformSpace.αUniformSpaceCat.completionFunctor · cited by 4UniformSpaceCat.completio…UniformSpaceCat.extensionHomCITED BYCITES

Cites13

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Cited by3

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