Homotopy Type Theory
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Definition
As a twice-delooping of a pointed simply connected 2-groupoid
A pointed simply connected 2-groupoid consists of
- A type
- A basepoint
- A 1-connector
- A 2-truncator:
An abelian group is the type of automorphisms of automorphisms in .
As a group
An abelian group or consists of
- A type ,
- A basepoint
- A binary operation
- A unary operation
- A
contractible left unit identity
- A
contractible right unit identity
- A
contractible associative identity
- A
contractible left inverse identity
- A
contractible right inverse identity
- A
contractible commutative identity
- A 0-truncator
Examples
See also
References
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