What does contravariant functor mean?

Definitions for contravariant functor
con·travari·ant func·tor

This dictionary definitions page includes all the possible meanings, example usage and translations of the word contravariant functor.

Wiktionary

  1. contravariant functornoun

    A functor which maps a morphism f:X Y to a morphism F(f):F(Y) F(X), such that if , then .

Wikipedia

  1. contravariant functor

    In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topological spaces, and maps between these algebraic objects are associated to continuous maps between spaces. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are important in all areas within mathematics to which category theory is applied. The words category and functor were borrowed by mathematicians from the philosophers Aristotle and Rudolf Carnap, respectively. The latter used functor in a linguistic context; see function word.

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Numerology

  1. Chaldean Numerology

    The numerical value of contravariant functor in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of contravariant functor in Pythagorean Numerology is: 1

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"contravariant functor." Definitions.net. STANDS4 LLC, 2025. Web. 19 Feb. 2025. <https://www.definitions.net/definition/contravariant+functor>.

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