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A category with chosen finite products.
wp-cartesian-categorynlab-cartesian-categoryriehl-category-contextEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Choose a terminal object and binary products satisfying their universal properties.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-cartesian-categoryriehl-category-contextThis is an authored directed relation from the source endpoint to the target endpoint.
Finite limits include a terminal object and binary products, yielding cartesian structure.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
nlab-finite-limitswp-cartesian-categoryriehl-category-contextEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Add internal objects right-adjoint to product.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-cccriehl-category-contextThis is an authored directed relation from the source endpoint to the target endpoint.
A cartesian category has finite products, which are limits of finite discrete diagrams, including a terminal object as the empty product.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-cartesian-categoryriehl-category-context