Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.RankFunction.basicCell

{X : SSet} →
  {A : X.Subcomplex} →
    {P : A.Pairing} →
      {ι : Type v} →
        [inst : LinearOrder ι] →
          (f : P.RankFunction ι) →
            [inst_1 : P.IsProper] → (i : ι) → (c : f.Cell i) → c.horn.toSSet ⟶ SSet.stdSimplex.obj { len := c.dim + 1 }

The horn inclusion corresponding to a cell of a rank function for a proper pairing of a subcomplex of a simplicial set.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex

Cited by

3 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderSSet.Subcomplex.Pairing.IsProper