Theorems · Definition · group theory
classifyingSpaceUniversalCover.compForgetAugmented
(G : Type u) → [Monoid G] → CategoryTheory.SimplicialObject.Augmented (Type u)
The universal cover of the classifying space of G as a simplicial set, augmented by the map
from Fin 1 → G to the terminal object in Type u.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functor.compproof · cited by 6,529
- Monoidstatement and proof · cited by 3,887
- CategoryTheory.forgetproof · cited by 418
- Actionproof · cited by 206
- CategoryTheory.Limits.terminalproof · cited by 141
- CategoryTheory.SimplicialObject.Augmentedstatement · cited by 113
- CategoryTheory.Limits.terminal.fromproof · cited by 77
- CategoryTheory.SimplicialObject.augmentproof · cited by 4
- classifyingSpaceUniversalCoverproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- classifyingSpaceUniversalCover.compForgetAugmented.toModuleproof · cited by 0
- classifyingSpaceUniversalCover.extraDegeneracyCompForgetAugmentedstatement · cited by 0