Theorems · Theorem · algebraic topology

Topology.RelCWComplex.finite_of_finiteDimensional_finiteType

∀ {X : Type u_1} [inst : TopologicalSpace X] (C : Set X) {D : Set X} [inst_1 : Topology.RelCWComplex C D]
  [Topology.RelCWComplex.FiniteDimensional C] [Topology.RelCWComplex.FiniteType C], Topology.RelCWComplex.Finite C

Defined in: Mathlib.Topology.CWComplex.Classical.Finite
Cited by: 1 results in Mathlib
Foundations: Depth 4 from the axioms · uses no axioms
Assumes: TopologicalSpace Topology.RelCWComplex Topology.RelCWComplex.FiniteDimensional Topology.RelCWComplex.FiniteType

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
Topology.RelCWComplexstatement and proof · cited by 195
Topology.RelCWComplex.Finitestatement · cited by 11
Topology.RelCWComplex.FiniteTypestatement and proof · cited by 7
Topology.RelCWComplex.FiniteDimensionalstatement and proof · cited by 5

Cited by1

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Topology.CWComplex.finite_of_finiteDimensional_finiteTypeproof · cited by 0