Associations to the word «Functor»
Noun
- Equivalence
- Tensor
- Category
- Algebra
- Predicate
- Topology
- Module
- Duality
- Axiom
- Assign
- Manifold
- Transformation
- Mod
- Tor
- Theorem
- Cw
- Diagram
- Fg
- Inclusion
- Vector
- Localization
- Calculus
- Coherence
- Subgroup
- Mapping
- Quiver
- Object
- Notation
- Space
- Kan
- Mathematics
- Np
- Bundle
- Lattice
- Preserve
- Map
- Mathematic
- Visualization
- Reflector
- Ab
- Subset
- Substitution
- Hilbert
- Faithful
- Singleton
- Generalization
- Dual
- Logic
- Kernel
- Limit
- Construct
- Theory
- Syntax
- Integer
- Sequence
- Analogy
- Geometry
Adjective
Adverb
Wiktionary
FUNCTOR, noun. (grammar) a function word
FUNCTOR, noun. (computing) a function object
FUNCTOR, noun. (category theory) 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:X→Y of C is mapped to a morphism F(f): F(X) → F(Y) of D, such that if \( h = g \circ f \) then \( F(h) = F(g) \circ F(f)\), and such that identity morphisms (and only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.
Wise words
The chief virtue that language can have is clearness, and
nothing detracts from it so much as the use of unfamiliar
words.