Theorems · Theorem · algebraic topology

Topology.CWComplex.isClosed_inter_cellFrontier_succ_of_le_isClosed_inter_closedCell

∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : Topology.CWComplex C] [T2Space X] {A : Set X} {n : ℕ},
  (∀ m ≤ n, ∀ (j : Topology.RelCWComplex.cell C m), IsClosed (A ∩ Topology.RelCWComplex.closedCell m j)) →
    ∀ (j : Topology.RelCWComplex.cell C (n + 1)), IsClosed (A ∩ Topology.RelCWComplex.cellFrontier (n + 1) 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