Theorems · Theorem · combinatorics

Topology.CWComplex.OneSkeletonGraph.isLink_iff_pair

∀ {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.map 0 x) ![], ↑(Topology.RelCWComplex.map 0 y) ![]}

Defined in

Mathlib.Topology.CWComplex.Classical.Graph

Cited by

0 results in Mathlib

Foundations

Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopology.CWComplex