Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.Cell.mapHorn

{X : SSet} →
  {A : X.Subcomplex} →
    {P : A.Pairing} →
      {ι : Type v} →
        [inst : LinearOrder ι] →
          (f : P.RankFunction ι) →
            [inst_1 : P.IsProper] → {j : ι} → (c : f.Cell j) → c.horn.toSSet ⟶ (f.filtration j).toSSet

Given a cell c of rank j for a rank function f for a proper pairing of a subcomplex of a simplicial set, this is the induced morphism c.horn ⟶ f.filtration j.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

8 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProper