Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.b

{X : SSet} →
  {A : X.Subcomplex} →
    {P : A.Pairing} →
      {ι : Type v} →
        [inst : LinearOrder ι] →
          (f : P.RankFunction ι) →
            [P.IsProper] →
              [inst_2 : SuccOrder ι] →
                [NoMaxOrder ι] → (j : ι) → f.sigmaStdSimplex j ⟶ (f.filtration (Order.succ 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.sigmaStdSimplex j ⟶ f.filtration (Order.succ j) for any j : ι.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

13 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProperSuccOrderNoMaxOrder