Theorems · Theorem · algebraic topology

Topology.CWComplex.skeletonLT_union_iUnion_closedCell_eq_skeletonLT_succ

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : T2Space X] [inst_1 : Topology.RelCWComplex C D] (n : ℕ),
  ↑(Topology.RelCWComplex.skeletonLT C ↑n) ∪ ⋃ j, Topology.RelCWComplex.closedCell n j =
    ↑(Topology.RelCWComplex.skeletonLT C (↑n + 1))

Alias of Topology.RelCWComplex.skeletonLT_union_iUnion_closedCell_eq_skeletonLT_succ.

Defined in: Mathlib.Topology.CWComplex.Classical.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace T2Space Topology.RelCWComplex

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Setstatement · cited by 53,352
TopologicalSpacestatement · cited by 24,529
SetLike.coestatement · cited by 8,199
ENatstatement · cited by 4,985
Set.iUnionstatement · cited by 2,483
T2Spacestatement · cited by 1,351
Topology.RelCWComplexstatement · cited by 195
Topology.RelCWComplex.cellstatement · cited by 194
Topology.RelCWComplex.Subcomplexstatement · cited by 110
Topology.RelCWComplex.closedCellstatement · cited by 70
Topology.RelCWComplex.skeletonLTstatement · cited by 34
Topology.RelCWComplex.skeletonLT_union_iUnion_closedCell_eq_skeletonLT_succproof · cited by 2

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