OAI/Topology/EilenbergGanea/Model.lean
5 declarations, 0 contain sorry, 0 declared as axioms
- abbrev
OAI.EilenbergGanea.SourceGroupline 17Also declared: ComparatorChallenges/EilenbergGanea.lean:92 (same declaration text).
- def
OAI.EilenbergGanea.cohomologicalDimensionline 20Source documentation
Integral, left-module cohomological dimension; no rational replacement.
Distinct definitions of this name: ComparatorChallenges/EilenbergGanea.lean:95 (different declaration text). Qualify references as OAI.EilenbergGanea.cohomologicalDimension@path.
def cohomologicalDimension (G : Type*) [Group G] : WithBot ℕ∞ := …
- def
OAI.EilenbergGanea.HasClassifyingSpaceline 28Source documentation
Ordinary K(G,1) of dimension at most n. The cell and space types have no finiteness or countability restriction. The contractible surjective covering is the usual universal-cover characterization of a classifying space.
Distinct definitions of this name: ComparatorChallenges/EilenbergGanea.lean:103 (different declaration text). Qualify references as OAI.EilenbergGanea.HasClassifyingSpace@path.
def HasClassifyingSpace (G : Type*) [Group G] (n : ℕ) : Prop := …
- theorem
OAI.EilenbergGanea.source_finitely_generatedline 42Source documentation
The finite-generation conjunct for the exact source height kernel.
theorem source_finitely_generated : Group.FG SourceGroup := …
Mentions: OAI.EilenbergGanea.SourceGroup
- theorem
OAI.EilenbergGanea.source_residuallyFiniteline 51Source documentation
The second exact conjunct of the source main theorem.
theorem source_residuallyFinite : Group.ResiduallyFinite SourceGroup := by …
Mentions: OAI.EilenbergGanea.SourceGroup