Theorems · Definition · algebraic topology

GenLoop.genLoopGenLoopEquiv

{N : Type u_1} →
  {X : Type u_2} →
    [inst : TopologicalSpace X] →
      {M : Type u_3} → (x : X) → ↑(GenLoop M (↑(GenLoop N X x)) GenLoop.const) ≃ₜ ↑(GenLoop (M ⊕ N) X x)

Ω^M (Ω^N X) ≃ₜ Ω^(M ⊕ N) X.

Defined in

Mathlib.Topology.Homotopy.HomotopyGroup

Cited by

2 results in Mathlib

Foundations

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

Assumes

TopologicalSpace