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SUBFUNCTOR

Subfunctor

In category theory, a branch of mathematics, a subfunctor is a special type of functor that is an analogue of a subset. Let C {\displaystyle {\mathcal

Subfunctor

Grothendieck topology

Mathematical structure

{\displaystyle {\mathcal {C}}} , a sieve on c {\displaystyle c} is a subfunctor of the functor Hom ⁡ ( − , c ) {\displaystyle \operatorname {Hom} (-,c)}

Grothendieck topology

Grothendieck_topology

Unipotent

Algebraic term

/ F p {\displaystyle {\textbf {Sch}}/\mathbb {F} _{p}} , there is the subfunctor α p {\displaystyle \alpha _{p}} where α p ( X ) = { x ∈ O ( X ) : x p

Unipotent

Vopěnka's principle

of ordinals cannot be fully embedded in the category of graphs. Every subfunctor of an accessible functor is accessible. (In a definable classes setting)

Vopěnka's principle

Vopěnka's_principle

Concrete category

Category equipped with a faithful functor to the category of sets

let UN be the functor C → Set determined by UN(c) = (U(c))N. Then a subfunctor of UN is called an N-ary predicate and a natural transformation UN → U

Concrete category

Concrete_category

Sieve (category theory)

→ S e t {\displaystyle S\colon C^{\rm {op}}\to {\rm {Set}}} on c is a subfunctor of Hom(−, c), i.e., for all objects c′ of C, S(c′) ⊆ Hom(c′, c), and for

Sieve (category theory)

Sieve_(category_theory)

Preradical

Subfunctor in mathematics

In mathematics, a preradical is a subfunctor of the identity functor in the category of left modules over a ring with identity. The class of all preradicals

Preradical

Ringed topos

Topos-theoretic version of a ringed space

\prod X(R_{f_{i}f_{j}})} Also, there must exist open affine subfunctors U i = Spec ( A i ) = Hom CAlg ( A i , − ) {\displaystyle

Ringed topos

Ringed_topos

Quot scheme

functor which has a natural stratification into a disjoint union of subfunctors, each of which is represented by a projective S {\displaystyle S} -scheme

Quot scheme

Quot_scheme

Online names & meanings

HENGIST

Male

English

HENGIST

Old English name HENGIST means "stallion." In English legend, this is the name of the brother of Horsa, and ruler of Kent. In Arthurian legend, he was killed by Uther Pendragon.Â