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Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.pairingCore

{X : SSet} → {A : X.Subcomplex} → (P : A.Pairing) → [P.IsProper] → A.PairingCore

The PairingCore structure induced by a pairing. The opposite construction is PairingCore.pairing.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
Cited by
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Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SSet.Subcomplex.Pairing.IsProper
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DFunLike.coe · cited by 62936DFunLike.coeSet.Elem · cited by 7166Set.ElemCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexCategoryTheory.SimplicialObject.δ · cited by 188SimplicialObject.δSSet.N.toS · cited by 171N.toSSSet.S.dim · cited by 162S.dimSSet.Subcomplex.N · cited by 155Subcomplex.NSSet.Subcomplex.N.toN · cited by 126N.toNSSet.Subcomplex.Pairing · cited by 117Subcomplex.PairingSSet.S.simplex · cited by 111S.simplexSSet.Subcomplex.Pairing.II · cited by 58Pairing.IISSet.Subcomplex.Pairing.IsProper · cited by 58Pairing.IsProperSSet.Subcomplex.PairingCore · cited by 50Subcomplex.PairingCorePairing.pairingCoreCITED BYCITES

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