Theorems · Definition · group theory
classifyingSpaceUniversalCover.cechNerveTerminalFromIso
(G : Type u) → [inst : Monoid G] → CategoryTheory.cechNerveTerminalFrom (Action.ofMulAction G G) ≅ classifyingSpaceUniversalCover G
When the category is G-Set, cechNerveTerminalFrom of G with the left regular action is
isomorphic to EG, the universal cover of the classifying space of G as a simplicial G-set.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Isostatement · cited by 3,963
- Monoidstatement and proof · cited by 3,887
- Opposite.unopproof · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.SimplicialObjectstatement · cited by 548
- SimplexCategory.lenproof · cited by 542
- Actionstatement · cited by 206
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.Limits.limit.isoLimitConeproof · cited by 8
- Action.ofMulActionstatement · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.