Theorems · Definition · algebraic topology
SSet.truncation
(n : ℕ) → CategoryTheory.Functor SSet (SSet.Truncated n)
The truncation functor on simplicial sets.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SimplexCategory.lenstatement · cited by 542
- SimplexCategory.Truncatedstatement · cited by 236
- SSet.Truncatedstatement · cited by 214
- CategoryTheory.SimplicialObject.truncationproof · cited by 2
Cited by56
Results whose statement or proof uses this declaration.
- SSet.Pathproof · cited by 46
- SSet.spineproof · cited by 23
- SSet.OneTruncation₂.nerveEquivstatement · cited by 8
- CategoryTheory.Nerve.nerveFunctor₂proof · cited by 8
- SSet.Edge.mapproof · cited by 7
- SSet.Path.mapproof · cited by 7
- SSet.Truncated.HomotopyCategory.homToNerveMkstatement and proof · cited by 5
- SSet.Edge.toTruncatedstatement · cited by 5
- SSet.OneTruncation₂.nerveHomEquivstatement and proof · cited by 4
- SSet.Truncated.HomotopyCategory.descOfTruncationstatement and proof · cited by 3
- SSet.Edge.CompStruct.mapproof · cited by 3
- SSet.hoFunctorproof · cited by 2