Theorems · Definition · group theory
classifyingSpaceUniversalCover
(G : Type u) → [inst : Monoid G] → CategoryTheory.SimplicialObject (Action (Type u) G)
The simplicial G-set sending [n] to Gⁿ⁺¹ equipped with the diagonal action of G.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- Oppositeproof · cited by 8,081
- Monoidstatement and proof · cited by 3,887
- Opposite.unopproof · cited by 2,231
- SimplexCategoryproof · cited by 2,204
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.SimplicialObjectstatement · cited by 548
- SimplexCategory.lenproof · cited by 542
- TypeCat.ofHomproof · cited by 389
- Actionstatement · cited by 206
- Action.Vproof · cited by 176
Cited by8
Results whose statement or proof uses this declaration.
- Rep.standardComplexproof · cited by 6
- Rep.standardComplex.forget₂ToModuleCatHomotopyEquiv_f_0_eqproof · cited by 2
- Rep.standardComplex.d_eqproof · cited by 1
- classifyingSpaceUniversalCover.cechNerveTerminalFromIsostatement · cited by 0
- classifyingSpaceUniversalCover.cechNerveTerminalFromIsoCompForgetstatement · cited by 0
- classifyingSpaceUniversalCover.compForgetAugmentedproof · cited by 0
- classifyingSpaceUniversalCover_mapstatement and proof · cited by 0
- classifyingSpaceUniversalCover_objstatement and proof · cited by 0