Theorems · Theorem · algebraic topology

Topology.CWComplex.OfDiscreteClosed_map

∀ {X : Type u_1} [t : TopologicalSpace X] {D : Set X} (hD : IsDiscrete D) (Dc : IsClosed D) (n : ℕ)
  (i :
    match n with
    | 0 => ↑D
    | n.succ => PEmpty.{u_1 + 1}),
  Topology.CWComplex.map n i =
    match n, i with
    | 0, i => PartialEquiv.single ![] ↑i
    | n.succ, i => PEmpty.elim i

Defined in

Mathlib.Topology.CWComplex.Classical.Basic

Cited by

0 results in Mathlib

Foundations

Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace