Theorems · Theorem · combinatorics

Topology.CWComplex.OneSkeletonGraph.adj_iff

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

Defined in

Mathlib.Topology.CWComplex.Classical.Graph

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopology.CWComplex