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Theorems · Definition · category theory

CategoryTheory.SimplicialThickening.functor

{J K : Type u} →
  [inst : LinearOrder J] →
    [inst_1 : LinearOrder K] →
      (J →o K) →
        CategoryTheory.EnrichedFunctor SSet (CategoryTheory.SimplicialThickening J)
          (CategoryTheory.SimplicialThickening K)

The simplicial thickening defines a functor from the category of linear orders to the category of simplicial categories

Defined in
Mathlib.AlgebraicTopology.SimplicialNerve
Cited by
4 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderLinearOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.SimplicialThickening.functor_map · cited by 2SimplicialThickening.func…CategoryTheory.SimplicialThickening.functor_obj_as · cited by 0SimplicialThickening.func…CategoryTheory.SimplicialNerve · cited by 0CategoryTheory.Simplicial…CategoryTheory.SimplicialThickening.functor_comp · cited by 0SimplicialThickening.func…CategoryTheory.SimplicialThickening.functor_id · cited by 0SimplicialThickening.func…DFunLike.coe · cited by 62936DFunLike.coeLinearOrder · cited by 8572LinearOrderOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetOrderHom · cited by 934OrderHomCategoryTheory.EnrichedFunctor · cited by 49CategoryTheory.EnrichedFu…CategoryTheory.SimplicialThickening · cited by 16CategoryTheory.Simplicial…CategoryTheory.nerveMap · cited by 12CategoryTheory.nerveMapCategoryTheory.SimplicialThickening.as · cited by 7SimplicialThickening.asCategoryTheory.SimplicialThickening.functorMap · cited by 3SimplicialThickening.func…SimplicialThickening.functorCITED BYCITES

Cites11

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Cited by5

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