Homotopy Type Theory
grouplike A3-space > history (Rev #2, changes)
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Idea
The invertible version of the A3-space up to homotopy, without any higher coherences for inverses.
Definition
An A invertible grouplike-space or invertible 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 -space.
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Every loop space is naturally an invertible grouplike-space with path concatenation as the operation. In fact every loop space is a -group.
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A group is a 0-truncated invertible grouplike-space.
See also
Revision on February 4, 2022 at 15:30:04 by
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