Theorems · Theorem · algebraic topology

Topology.CWComplex.closed

∀ {X : Type u_1} [t : TopologicalSpace X] (C : Set X) [inst : Topology.CWComplex C] [T2Space X],
  ∀ A ⊆ C,
    IsClosed A ↔ ∀ (n : ℕ) (j : Topology.RelCWComplex.cell C n), IsClosed (A ∩ Topology.RelCWComplex.closedCell n j)

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

0 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopology.CWComplexT2Space