Category Theory for the Sciences¶
Spivak, D. I. (2014). Category Theory for the Sciences. MIT Press.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Category
- Database design. Tables (or entity types) as objects and foreign-key relations as arrows; schema migrations read as functors between schema-categories that must preserve referential structure.
This sourceModels database schemas as categories (tables as objects, foreign keys as arrows) and schema migrations as functors preserving referential structure.
- Database design. Tables (or entity types) as objects and foreign-key relations as arrows; schema migrations read as functors between schema-categories that must preserve referential structure.
Domain-specific¶
- Functor
- Database theory — schema mappings and ologs (Spivak): functorial translations between categorically-modelled data schemas
This sourceSpivak's treatment of ologs (sect. 2.3) and of database schemas and instances as categories (sect. 3.2), with functors between schemas as data migrations.
SupportedVerified against the source
- Database theory — schema mappings and ologs (Spivak): functorial translations between categorically-modelled data schemas
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