Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.t

{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.filtration j).toSSet

Given a rank function f : P.RankFunction ι for a proper pairing P of a subcomplex of a simplicial set, this is the induced morphism f.sigmaHorn j ⟶ f.filtration j for any j : ι.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

9 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProper