Phrase Hound found 29 phrases and 12 compound words that contain categories. The most common are listed below. Open categories in the live search for definitions, filters, and the full list.
Phrases 29
- equivalence of categoriesAn adjunction whose unit and counit are both natural isomorphisms.
- Join of categories
- On a New List of Categories
- Product of categories
- Software categories
- Category of all categories
- Category of all small categories
- Category of categories
- Category of small categories
- Model categories
- free categoriesplural of free category: A category that is induced by a multidigraph thus: it has as its objects the vertices of the multidigraph and its morphisms are paths in the multidigraph; composition of morphisms is concatenation of paths, as long …
- small categoriesplural of small category: A category such that all of its objects form a set and all of its morphisms form a set.
- The Categories of Life
- sub-categoriesplural of sub-category (alternative spelling of subcategories).
- child categoriesplural of child category: With respect to a given category; a narrower category.
- discrete categoriesplural of discrete category: A category whose morphisms are all identity morphisms.
- comma categoriesplural of comma category: A category built out of a pair of functors that have the same codomain.
- lexical categoriesplural of lexical category: A linguistic category of words (or more precisely lexical items), generally defined by the syntactic or morphological behaviour of the lexical item in question, such as nouns or verbs.
- grammatical categoriesplural of grammatical category: Part of speech.
- Cartesian closed categoriesplural of Cartesian closed category: A category which has a terminal object and which for every two objects A and B has a product A × B and an exponential object Bᴬ.
- monoidal categoriesplural of monoidal category: A category 𝒞 with a bifunctor ⊗:𝒞×𝒞→𝒞 which may be called tensor product, an associativity isomorphism α_(A,B,C):(A⊗B)⊗C≃A⊗(B⊗C), an object I which may be called tensor unit, a left unit natural isomorphism …
- Kleisli categoriesplural of Kleisli category: A category naturally associated to any monad T, and equivalent to the category of free T-algebras.
- balanced categoriesplural of balanced category: A category in which every bimorphism is an isomorphism.
- slice categoriesplural of slice category: A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain.
- hors categoriesplural of hors categorie: The toughest category of climbs, tougher than category 1. One of six categories of climbs, HC, 1, 2, 3, 4, and not classified; not classified being the easiest.
Compound words 12
- subcategoriesplural of subcategory: With respect to a given category; a narrower category.
- anticategoriesplural of anticategory: A category that stands in opposition to another category, or that defies the usual conventions of categories.
- macrocategoriesplural of macrocategory: A category that is made up of multiple smaller microcategories.
- microcategoriesplural of microcategory: A category that is a subset of a larger category (the macrocategory), especially one that has very few members.
- multicategoriesplural of multicategory: A generalization of the concept of category that allows morphisms of multiple arity.
- overcategoriesplural of overcategory: Any functor into a specified base category.
- precategoriesplural of precategory: A form of partial algebra in category theory.
- quasicategoriesplural of quasicategory
- semicategoriesplural of semicategory: A form of partial algebra in category theory.
- supercategoriesplural of supercategory: The parent category that contains a subcategory.