Theorems · Theorem · algebraic topology

Topology.CWComplex.mem_skeleton_iff

∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : T2Space X] [inst_1 : Topology.CWComplex C] {n : ℕ∞}
  {x : X}, x ∈ Topology.RelCWComplex.skeleton C n ↔ ∃ m, ∃ (_ : ↑m ≤ n), ∃ j, x ∈ Topology.RelCWComplex.openCell m j

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

1 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT2SpaceTopology.CWComplex