Associations to the word «Functor»
Noun
- Argument
- Definition
- Realization
- If
- Representation
- Template
- Complex
- Approximation
- Identity
- Pointer
- Ring
- Coefficient
- Manipulation
- Noun
- Adjective
- Arrow
- Scheme
- Yield
- Verb
- Ml
- Formulation
- Cone
- Graph
- Set
- Extension
- Pt
- Pair
- Function
- Notion
- Above
- Composition
- Suspension
- Characterization
- Natural
- Sentence
- Mathematician
- Saunders
- Cop
- Restriction
- Correspondence
- Proof
- Construction
- Group
- Product
- Fibre
- Domain
- Resolution
- Structure
- Image
- Property
- Lift
- Fields
Adjective
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 most important things are the hardest things to say.
They are the things you get ashamed of because words
diminish your feelings - words shrink things that seem
timeless when they are in your head to no more than living
size when they are brought out.