Homotopy Type Theory pointed connected groupoid > history (Rev #1)

Definition

A pointed connected groupoid consists of

  • A type GG
  • A basepoint e:Ge:G
  • A 0-connector
    κ 1:∏ f:G→𝟙∏ a:𝟙isContr([fiber(f,a)] 0)\kappa_1:\prod_{f:G \to \mathbb{1}} \prod_{a:\mathbb{1}} \mathrm{isContr}(\left[\mathrm{fiber}(f, a)\right]_{0})
  • A 1-truncator:
    τ 2:isGroupoid(G)\tau_2:\mathrm{isGroupoid}(G)

See also

References

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