homotopyGroupEquivZerothHomotopyOfIsEmpty

{X : Type u_2} →
  [inst : TopologicalSpace X] → (N : Type u_3) → (x : X) → [IsEmpty N] → HomotopyGroup N X x ≃ ZerothHomotopy X

The homotopy "group" indexed by an empty type is in bijection with the path components of X, aka the ZerothHomotopy.

Defined in: Mathlib.Topology.Homotopy.HomotopyGroup
Cited by: 0 results in Mathlib
Foundations: Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace IsEmpty

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