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Theorems · Theorem · algebraic topology

Topology.CWComplex.union

∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : Topology.CWComplex C],
  ⋃ n, ⋃ j, Topology.RelCWComplex.closedCell n j = C
Defined in
Mathlib.Topology.CWComplex.Classical.Basic
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Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopology.CWComplex
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.image · cited by 5609Set.imageSet.iUnion · cited by 2483Set.iUnionPartialEquiv.toFun · cited by 821PartialEquiv.toFunMetric.closedBall · cited by 704Metric.closedBallTopology.RelCWComplex.cell · cited by 194RelCWComplex.cellTopology.RelCWComplex.closedCell · cited by 70RelCWComplex.closedCellSet.empty_union · cited by 52Set.empty_unionTopology.RelCWComplex.map · cited by 44RelCWComplex.mapTopology.CWComplex · cited by 44Topology.CWComplexTopology.RelCWComplex.union' · cited by 2RelCWComplex.union'CWComplex.unionCITED BYCITES

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