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categories

The correct spelling is categories.

How to pronounce categories

noun

IPA: /ˈkætɪɡ(ə)ɹiz/

Say it like: Cat-ego-ree-s

The correct spelling is categories. A group, often named or numbered, to which items are assigned based on similarity or defined criteria. For example: "I wouldn't put this book in the same category as the author's first novel."

Usage Examples

I wouldn't put this book in the same category as the author's first novel.

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.

Definition

noun

  1. 1.A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
  2. 2.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.

Similar words

Words related in meaning — check their spelling too.

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