homotopyGroupEquivFundamentalGroupOfUnique

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

The homotopy group at x indexed by a singleton is in bijection with the fundamental group, i.e. the loops based at x up to homotopy.

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 Unique

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