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Theorems · Theorem · algebraic topology

SSet.hasDimensionLT_iSup_iff

∀ {X : SSet} {ι : Type u_1} (A : ι → X.Subcomplex) (d : ℕ),
  (⨆ i, A i).toSSet.HasDimensionLT d ↔ ∀ (i : ι), (A i).toSSet.HasDimensionLT d
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Dimension
Cited by
1 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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SSet.hasDimensionLT_of_isColimit · cited by 0SSet.hasDimensionLT_of_is…Opposite · cited by 8081OppositeiSup · cited by 2415iSupSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.toSSet · cited by 315Subcomplex.toSSetCategoryTheory.Subfunctor.obj · cited by 227Subfunctor.objSSet.HasDimensionLT · cited by 32SSet.HasDimensionLTSSet.degenerate · cited by 29SSet.degenerateCategoryTheory.Subfunctor.iSup_obj · cited by 23Subfunctor.iSup_objSSet.hasDimensionLT_iSup_iffCITED BYCITES

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Cited by1

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