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Theorems · Definition · category theory

PartOrd.nerveFunctor

CategoryTheory.Functor PartOrd SSet

The functor PartOrd ⥤ SSet which sends a partially ordered type to its nerve.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Nerve
Cited by
2 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

SimplexCategory.sd · cited by 0SimplexCategory.sdPartOrd.nerveFunctor_map · cited by 0PartOrd.nerveFunctor_mapPartOrd.nerveFunctor_obj · cited by 0PartOrd.nerveFunctor_objQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetPartOrd.carrier · cited by 93PartOrd.carrierCategoryTheory.nerve · cited by 68CategoryTheory.nerveMonotone.functor · cited by 66Monotone.functorPartOrd · cited by 65PartOrdCategoryTheory.nerveMap · cited by 12CategoryTheory.nerveMapPartOrd.nerveFunctorCITED BYCITES

Cites10

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Cited by3

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