Homotopy Type Theory
commutative A3-space > history (Rev #3, changes)
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Definition
A commutative -space or commutative -algebra in homotopy types or commutative H-monoid consists of
- A type ,
- A basepoint
- A binary operation
- A left unitor
- A right unitor
- An asssociator
- A commutator
A homomorphism of commutative -spaces between two commutative -spaces and is a function such that
Homomorphisms of commutative -spaces
- The basepoint is preserved
- The binary operation is preserved
- The left unitor is preserved
- The right unitor is preserved
- The associator is preserved
- The commutator is preserved
A homomorphism of commutative -spaces between two commutative -spaces and is a function such that
- The basepoint is preserved
- The binary operation is preserved
(…)
Tensor product of commutative -spaces
(…)
Examples
See also
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