Homotopy Type Theory
grouplike A3-space > history (Rev #3, changes)
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Idea
The invertible version of the A3-space up to homotopy, without any higher coherences for inverses.
Definition
A grouplike -space or grouplike -algebra in homotopy types or H-group consists of
- A type ,
- A basepoint
- A binary operation
- A unary operation
- A left unitor
- A right unitor
- An asssociator
- A left invertor
- A right invertor
Examples
-
The integers are an invertible grouplike-space.
-
Every loop space is naturally an grouplike -space with path concatenation as the operation. In fact every loop space is a -group.
-
A group is a 0-truncated grouplike -space.
See also
Revision on February 4, 2022 at 16:17:27 by
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