OAI/Topology/EilenbergGanea/Model.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.EilenbergGanea.SourceGroup line 17

    Also declared: ComparatorChallenges/EilenbergGanea.lean:92 (same declaration text).

  2. def OAI.EilenbergGanea.cohomologicalDimension line 20

    Source 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∞ :=
    …
  3. def OAI.EilenbergGanea.HasClassifyingSpace line 28

    Source 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 :=
    …
  4. theorem OAI.EilenbergGanea.source_finitely_generated line 42

    Source documentation

    The finite-generation conjunct for the exact source height kernel.

    theorem source_finitely_generated : Group.FG SourceGroup :=
    …

    Mentions: OAI.EilenbergGanea.SourceGroup

  5. theorem OAI.EilenbergGanea.source_residuallyFinite line 51

    Source documentation

    The second exact conjunct of the source main theorem.

    theorem source_residuallyFinite : Group.ResiduallyFinite SourceGroup := by
    …

    Mentions: OAI.EilenbergGanea.SourceGroup