Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
story_cartesian_closed_category_to_adjunction_canonical_construction- Relation type
- Canonical construction
canonical-construction - Direction
- source → target
- Endpoint roles
- source: Canonically constructs; target: Canonically constructed from
- Authored annotation
- product is left adjoint to exponentiation
Authored explanation
In a cartesian closed category, for each object A the functor (−)×A is left adjoint to the exponential functor (−)A.
How to interpret this relation type
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
ccc_to_j_topos- Relation type
- Combine compatible structures
combine-compatible - Direction
- source → target
- Endpoint roles
- source: Builds toward; target: Built from
- Authored annotation
- supply exponentials
Authored explanation
Use the cartesian-closed structure.
How to interpret this relation type
Feed several structures into a construction junction and impose compatibility between them.