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
We cannot always control our thoughts, but we can control
our words, and repetition impresses the subconscious, and we
are then master of the situation.