Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.m

{X : SSet} →
  {A : X.Subcomplex} →
    {P : A.Pairing} →
      {ι : Type v} →
        [inst : LinearOrder ι] →
          (f : P.RankFunction ι) → [inst_1 : P.IsProper] → (j : ι) → f.sigmaHorn j ⟶ f.sigmaStdSimplex j

The coproduct of the horn inclusions corresponding to all the cells of rank j for a rank function for a proper pairing of a subcomplex of a simplicial set.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

12 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProper