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representable$69379$ - translation to greek
FUNCTOR F: C → SET TO THE CATEGORY OF SETS, NATURALLY ISOMORPHIC TO A HOM-FUNCTOR HOM(X, –) FOR SOME OBJECT X IN C
Universal element; Representable presheaf; Representing object
representable
adj. αντιπροσωπευτός
Definition
floating-point
¦ noun [as modifier] Computing denoting a mode of representing numbers as two sequences of bits, one representing the digits in the number and the other an exponent which determines the position of the radix point.
Wikipedia
Representable functor
In mathematics, particularly category theory, a representable functor is a certain functor from an arbitrary category into the category of sets. Such functors give representations of an abstract category in terms of known structures (i.e. sets and functions) allowing one to utilize, as much as possible, knowledge about the category of sets in other settings.
From another point of view, representable functors for a category C are the functors given with C. Their theory is a vast generalisation of upper sets in posets, and of Cayley's theorem in group theory.
