DictionaryThesaurusScrabbleExamplesQuiz

category

EN[ˈkæɾəˌɡɒɹi] [ˈkatɪɡ(ə)ɹi]
US
WCategory
  • Category, plural categories, may refer to:

    Definition of category in English Dictionary

  • NounPLcategoriesSUF-ory
    1. A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
      1. (mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
        1. One well-known category has sets as objects and functions as arrows.
        2. Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.
    2. More Examples
      1. Used in the Middle of Sentence
        • If slice category C over X has two objects (A, f) and (B, g) and a morphism h : (A, f) → (B, g), then this morphism would correspond to a like-named morphism h : A → B of C such that .
        • “The dating industry has come a long way since its inception, but the category remains underpenetrated.”
        • A new semisymmetrization functor, which maps the category of quasigroups with homotopies to the category of semisymmetric quasigroups with homomorphisms is given.
    • Part-of-Speech Hierarchy
      1. Nouns
        • Countable nouns
      Related Links:
      1. en categoryless
      2. en category killer
      3. en category theory
      4. en category killers
      5. en category mistake
      Source: Wiktionary
       0 0

      Meaning of category for the defined word.

      Grammatically, this word "category" is a noun, more specifically, a countable noun.
      Difficultness: Level 3
      12345678910
      Easy     ➨     Difficult
      Definiteness: Level 8
      12345678910
      Definite    ➨     Versatile