OAI/Algebra/Finitistic/Bar/CountRetracts.lean
9 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.DerivedBar.directSumComplexProjectionline 12Source documentation
Projection from the original chain direct sum to its r-th complex.
def directSumComplexProjection (S : ℕ → ChainComplex (ModuleCat.{u} D) ℕ) (r : ℕ) : directSumComplex S ⟶ S r where …Mentions: OAI.DerivedBar.directSumComplex
- theorem
OAI.DerivedBar.directSumComplex_inclusion_projectionline 25 - theorem
OAI.DerivedBar.ParityBridge.mapped_retractline 36 - def
OAI.DerivedBar.ParityBridge.countTensorBarInclusionline 64Source documentation
The original count subcomplex included into the actual balanced tensor bar.
def countTensorBarInclusion (r : ℕ) : S r ⟶ T := …
- def
OAI.DerivedBar.ParityBridge.countTensorBarProjectionline 68 - theorem
OAI.DerivedBar.ParityBridge.countTensorBar_retractline 72 - def
OAI.DerivedBar.ParityBridge.shiftedIterateInclusionline 78Source documentation
The genuine shifted iterate included into actual left-derived base change.
def shiftedIterateInclusion (r : ℕ) : (shiftedIterateDiagram k D X N).obj ⟨r⟩ ⟶ (derivedBaseChange D (fstHom k D X)).obj (ModuleCat.of A N) := …Mentions: OAI.DerivedBar.ParityBridge.shiftedIterateDiagram, OAI.DerivedBar.derivedBaseChange
- def
OAI.DerivedBar.ParityBridge.shiftedIterateProjectionline 85 - theorem
OAI.DerivedBar.ParityBridge.shiftedIterate_retractline 92