Is “Functor” a Scrabble word?

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Yes
FUNCTOR
Valid in at least one Scrabble dictionary

Valid in these dictionaries

SOWPODS / CSW
Scrabble UK & International
Valid
TWL / NWL
Scrabble North America
Valid
Large English Dictionary
General English word list
Unavailable

Meaning of Functor

/ˈfʌŋktə/

noun
  1. 1.(grammar) A function word.

  2. 2.A function object.

  3. 3.A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.

    In the category of categories, \mathbb{CAT}, the objects are categories and the morphisms are functors.