Theorems · Theorem · algebraic topology

Topology.CWComplex.exists_mem_openCell_of_mem_skeleton

Deprecated since 2026-04-30Use Topology.CWComplex.mem_skeleton_iff instead.

∀ {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

Alias of Topology.CWComplex.mem_skeleton_iff.

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

0 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT2SpaceTopology.CWComplex