- How do I think of a representable functor?🔍
- Representable functor🔍
- representable functor in nLab🔍
- Category Theory For Beginners🔍
- A fun example of a representable functor🔍
- Representable functors and direct limits🔍
- Representable Functors🔍
- When does a "representable functor" into a category other than Set ...🔍
How do I think of a representable functor?
How do I think of a representable functor? - Math Stack Exchange
For any category C , a (covariant or contravariant) functor F:C→S e t is said to be representable if there is an object c in C so that for all ...
Representable functor - Wikipedia
In mathematics, particularly category theory, a representable functor is a certain functor from an arbitrary category into the category of sets.
Abstractly, a presheaf F F is representable if and only if it admits a left adjoint relative to the functor 1 : 1 → Set 1 \colon \mathbf 1 \to ...
Category Theory For Beginners: Representable Functors - YouTube
We use the running example of the natural number object as the universal dynamical system to illustrate how representable functors can be ...
A fun example of a representable functor | Lovely little lemmas
Definition. Let F \colon \mathscr C \to \Set be a functor. Then ; Really one should encode the isomorphism \Hom(A,-) \stackrel\sim\to F as well, ...
Representable functors and direct limits - MathOverflow
Let F:Sch/S→{Sets} be a representable functor. Denote by X the scheme representing F. The question is whether ...
nForum - representable functor - nLab
Mike: I disagree (partly). First of all, a functor F equipped with an isomorphism F ...
Representable Functors: Practical Examples - Jobs
Representable Functors: Practical Examples · A functor f · An object a , such that f is the same as Hom a · A way to convert f into Hom a . That is ...
Representable Functors - Bartosz Milewski's Programming Cafe
We are representing objects and morphisms of C as sets and functions in Set. The functor C(a, -) itself is sometimes called representable. More ...
When does a "representable functor" into a category other than Set ...
3. If the forgetful functor creates limits, then I think you get what you want. · (... · 1 · @Tilman: My comments referred only to the first part ...
Representable functors from a Kleisli category : r/haskell - Reddit
Comonad.Representable.Store from the adjunctions package and thought this would solve my problems. However, it is difficult to squeeze most data ...
For what it's worth, here is my own thinking. The representing object, if it were to exist, would be loosely described as the “generic monoid M ...
Radix Sort, Trie Trees, and Maps from Representable Functors
Representable Functors bring with them an intrinsic notion of sorting; not in the traditional 'ordered' sense, but rather a sense of 'structural' sorting.
Laziness with Representable Functors | by Brian Lonsdorf - Medium
A functor is dubbed Representable if it isomorphic to Function. ... If you think about it, feeding a function some input to get a value ...
Representables and Yoneda 1 - YouTube
Definition of representable functors and the Yoneda embedding (though without calling it the Yoneda embedding yet)
how to prove that a non-representable functor is not representable
A contravariant functor F : Cop → Sets is representable if it is naturally isomorphic to hom(−,A) for some A ∈ obC. Note: I will probably write C(A,−) for hom(A ...
Category Theory II 4.1: Representable Functors - YouTube
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functor - What is Representable used for in Haskell? - Stack Overflow
Now, here is an example of a functor that is NOT representable: the typical Haskell list type [] . One might naively think that it can be ...
The Haskell Unfolder Episode 35: distributive and representable ...
The former allows you to distribute one functor over another, the latter provides you with a notion of an index to access the elements. As an ...
So I got pretty fired-up about it then, and started to read Mac Lane's Categories for the Working Mathematician. I think that even today this ...