Theorems · Definition · algebraic topology
SSet
Type (u + 1)
The category of simplicial sets.
This is the category of contravariant functors from
SimplexCategory to Type u.
- Cited by
- 1,283 results in Mathlib
- Foundations
- Depth 31 from the axioms, rests on 269 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.SimplicialObjectproof · cited by 548
Cited by1,869
Results whose statement or proof uses this declaration.
- SSet.stdSimplexstatement · cited by 499
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.N.toSstatement and proof · cited by 171
- SSet.hornstatement · cited by 162
- SSet.S.dimstatement and proof · cited by 162
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.boundarystatement · cited by 141
- SSet.Subcomplex.ιstatement and proof · cited by 136
- SSet.Subcomplex.N.toNstatement and proof · cited by 126
- SSet.Subcomplex.Pairingstatement · cited by 117
- SSet.S.simplexstatement and proof · cited by 111
Showing the 200 most cited of 1,869.