Theorems · Theorem · combinatorics

Topology.CWComplex.OneSkeletonGraph_isLink

∀ {X : Type u_1} [inst : TopologicalSpace X] (C : Set X) [inst_1 : Topology.CWComplex C]
  (e : Topology.RelCWComplex.cell C 1) (x y : Topology.RelCWComplex.cell C 0),
  (Topology.CWComplex.OneSkeletonGraph C).IsLink e x y =
    (Topology.RelCWComplex.cellFrontier 1 e =
      Topology.RelCWComplex.closedCell 0 x ∪ Topology.RelCWComplex.closedCell 0 y)

Defined in

Mathlib.Topology.CWComplex.Classical.Graph

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopology.CWComplex