Free higher groups in homotopy type theory

Given a type A in homotopy type theory (HoTT), we can define the free ∞-group on A as the higher inductive type F (A)with constructors unit: F(A),cons : A → F(A) → F(A), and conditions saying that every cons(a)is an auto-equivalence on F(A). Equivalently, we can take the loop space of the suspension...

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Bibliographic Details
Main Authors: Kraus, Nicolai, Altenkirch, Thorsten
Format: Conference or Workshop Item
Language:English
Published: 2018
Online Access:https://eprints.nottingham.ac.uk/51212/