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Cartesian closed categories

Cartesian closed categories is the plural of Cartesian closed category.

Meaning of Cartesian closed category

Noun

Cartesian closed category (plural Cartesian closed categories)

  1. 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.
    • In any event, Lambek showed that every typed lambda-theory gives a cartesian closed category — and conversely, every cartesian closed category gives a typed lambda-theory. This discovery led to a rich line of research blending category theory and computer science.2009 February 3, John C. Baez with Mike Stay, Physics, Topology, Logic and Computation: A Rosetta Stone, page 54
    Synonyms:
    CCC

Questions about Cartesian closed categories

What is Cartesian closed categories the plural of?
Cartesian closed categories is the plural of Cartesian closed category.

Words near Cartesian closed categories in the dictionary

  1. cartes blanches
  2. cartes de visite
  3. cartesian
  4. Cartesian circle
  5. Cartesian circles
  6. Cartesian closed categories
  7. Cartesian closed category
  8. Cartesian coordinate
  9. cartesian coordinates
  10. Cartesian devil
  11. Cartesian devils

Source and license

Adapted from Wiktionary: Cartesian closed categories (page history and authors); Cartesian closed category (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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