Theorems · Theorem · algebraic topology

Topology.RelCWComplex.disjoint_skeleton_openCell

∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : T2Space X] [inst_1 : Topology.RelCWComplex C D] {n : ℕ∞}
  {m : ℕ} {j : Topology.RelCWComplex.cell C m},
  n < ↑m → Disjoint (↑(Topology.RelCWComplex.skeleton C n)) (Topology.RelCWComplex.openCell m j)

A skeleton and an open cell of a higher dimension are disjoint.

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

1 results in Mathlib

Foundations

Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT2SpaceTopology.RelCWComplex