Theorems · Definition · algebraic topology

SSet.Subcomplex.toOfSimplex

{X : SSet} →
  {n : ℕ} →
    (x : X.obj (Opposite.op { len := n })) → SSet.stdSimplex.obj { len := n } ⟶ (SSet.Subcomplex.ofSimplex x).toSSet

Given x : X _⦋n⦌, this is the epimorphism from Δ[n] to the subcomplex of X generated by x.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex

Cited by

6 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound