Homotopy Type Theory
abelian group > history (Rev #14)
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
Revision on June 14, 2022 at 01:57:47 by
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