Definitions for Functor
ˈfʌŋk tərfunc·tor

WiktionaryRate this definition:0.0 / 0 votes

1. functornoun

   a function word

2. functornoun

   a function object

3. functornoun

   a structure-preserving mapping between categories: if F is a functor from category C to category D, then F maps objects of C to objects of D and morphisms of C to morphisms of D such that any morphism f:XY of C is mapped to a morphism F(f): F(X) F(Y) of D, such that if then , and such that identity morphisms (and only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.

WikipediaRate this definition:0.0 / 0 votes

1. 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.

WikidataRate this definition:0.0 / 0 votes

1. Functor

   A functor is a type of mapping between categories, which is applied in category theory. Functors can be thought of as homomorphisms between categories. In the category of small categories, functors can be thought of more generally as morphisms. Functors were first considered in algebraic topology, where algebraic objects are associated to topological spaces, and algebraic homomorphisms are associated to continuous maps. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are generally applicable in areas within mathematics that category theory can make an abstraction of. The word functor was borrowed by mathematicians from the philosopher Rudolf Carnap, who used the term in a linguistic context.

How to pronounce Functor?

1. Alex

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   David

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Neerja

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   Oliver

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   Fred

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   Tessa

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How to say Functor in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Functor in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of Functor in Pythagorean Numerology is: 7

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References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Functor
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Functor
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=Functor