Theorems · Definition · algebraic topology
SSet.Augmented.stdSimplex
CategoryTheory.Functor SimplexCategory SSet.Augmented
The functor which sends ⦋n⦌ to the simplicial set Δ[n] equipped by
the obvious augmentation towards the terminal object of the category of sets.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositeproof · cited by 8,081
- CategoryTheory.Functor.idproof · cited by 3,333
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.Comma.rightproof · cited by 727
- CategoryTheory.SimplicialObjectproof · cited by 548
- SSet.stdSimplexproof · cited by 499
- CategoryTheory.Limits.terminalproof · cited by 141
- CategoryTheory.Limits.terminal.fromproof · cited by 77
Cited by6
Results whose statement or proof uses this declaration.
- SSet.Augmented.stdSimplex_map_leftstatement and proof · cited by 0
- SSet.Augmented.stdSimplex_map_rightstatement and proof · cited by 0
- SSet.Augmented.stdSimplex_obj_hom_appstatement and proof · cited by 0
- SSet.Augmented.stdSimplex_obj_leftstatement and proof · cited by 0
- SSet.Augmented.stdSimplex_obj_rightstatement and proof · cited by 0
- SSet.Augmented.StandardSimplex.extraDegeneracystatement and proof · cited by 0