Theorems · Definition · algebraic topology

SSet.RelativeMorphism.Homotopy.h

{X Y : SSet} →
  {A : X.Subcomplex} →
    {B : Y.Subcomplex} →
      {φ : A.toSSet ⟶ B.toSSet} →
        {f g : SSet.RelativeMorphism A B φ} →
          f.Homotopy g → (CategoryTheory.MonoidalCategoryStruct.tensorObj X (SSet.stdSimplex.obj { len := 1 }) ⟶ Y)

The homotopy.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.RelativeMorphism

Cited by

16 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound