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Theorems · Definition · algebraic topology

SSet.N.toSemiSimplexCategory

(X : SSet) → [X.Nonsingular] → CategoryTheory.Functor X.N SemiSimplexCategory

If X is a nonsingular simplicial set, this is the functor X.N ⥤ SemiSimplexCategory which sends a nondegenerate simplex s : X.N to ⦋s.dim⦌ₛ.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.NonsingularColimit
Cited by
3 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SSet.Nonsingular

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