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Theorems · Definition · algebraic topology

SSet.RelativeMorphism.HomotopyClass

{X Y : SSet} → (A : X.Subcomplex) → (B : Y.Subcomplex) → (A.toSSet ⟶ B.toSSet) → Type u

The type of homotopy classes of relative morphisms.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.RelativeMorphism
Cited by
4 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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SSet.RelativeMorphism.homotopyClass · cited by 4RelativeMorphism.homotopy…SSet.RelativeMorphism.HomotopyClass.postcomp · cited by 1HomotopyClass.postcompSSet.RelativeMorphism.HomotopyClass.precomp · cited by 1HomotopyClass.precompSSet.RelativeMorphism.HomotopyClass.eq_homotopyClass · cited by 0HomotopyClass.eq_homotopy…SSet.RelativeMorphism.Homotopy.eq · cited by 0Homotopy.eqSSet.RelativeMorphism.postcomp_homotopyClass · cited by 0RelativeMorphism.postcomp…SSet.RelativeMorphism.precomp_homotopyClass · cited by 0RelativeMorphism.precomp_…Quiver.Hom · cited by 32603Quiver.HomOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.toSSet · cited by 315Subcomplex.toSSetSSet.RelativeMorphism · cited by 39SSet.RelativeMorphismSSet.RelativeMorphism.Homotopy · cited by 14RelativeMorphism.HomotopyRelativeMorphism.HomotopyClassCITED BYCITES

Cites8

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Cited by7

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