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Theory Representable


Representable functor - Wikipedia

In mathematics, particularly category theory, a representable functor is a certain functor from an arbitrary category into the category of sets.

What is the difference between representability and definability?

The definition that I have seen for weakly representing a set is that a theory T weakly represents a set S iff for some formula A(x) in the language of the ...

representable functor in nLab

The concept permeates much of algebraic geometry and algebraic topology. 2. Definition. In ordinary category theory. For a functor F : C op ...

Representability - Wikipedia

Representability · the existence of a representable functor in category theory · Birch's theorem about the representability of zero by odd degree forms · Brauer's ...

Theory Representable

Theory Representable. (* Title: HOL/HOLCF/Representable.thy Author: Brian Huffman *) section ‹Representable domains› theory Representable imports ...

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 Comprehensive Introduction to the Theory of Word-Representable ...

This paper offers a comprehensive introduction to the theory of word-representable graphs including the most recent developments in the area.

(Pro-)representable functors and full subcategories in homotopy theory

1 Answer 1 ... This is a partial answer. Broadly speaking, representability theorems break down into two types. In both cases, the functor F has ...

Theory Representable (Isabelle2009-2: June 2010)

(* Title: HOLCF/Representable.thy. Author: Brian Huffman *) header {* Representable Types *} theory Representable imports Algebraic Universal Ssum Sprod One ...

Representable Functors - Bartosz Milewski's Programming Cafe

We even called it a hom-set. To be fair, there is a branch of category theory where morphisms don't form sets. Instead they are objects in ...

representable functor theorem in nLab

relation between type theory and category theory. Extensions. sheaf and topos ... The representable functor theorem states that: A presheaf C op → Set C ...

Category Theory II 4.1: Representable Functors - YouTube

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Deformation theory of representable morphisms of algebraic stacks

We study the relationship between the deformation theory of representable 1-morphisms between algebraic stacks and the cotangent complex ...

Human-verifiable proofs in the theory of word-representable graphs

In this paper, we develop methods for an automatic search of human-verifiable proofs of graph non-word-representability.

The Brown Representability Theorem: Old and New - UT Math

logical K-theory and various cobordism theories. In 1962, Edgar Brown ... functor out of the homotopy category of CW complexes was representable, i.e. nat-.

Representables and Yoneda 1 - YouTube

Comments6 ; Representables and Yoneda 2. TheCatsters · 7.3K views ; Category Theory For Beginners: Representable Functors. Richard Southwell · 2.6K ...

Theory Representable - Isabelle

Theory Representable. (* Title: HOL/HOLCF/Representable.thy Author: Brian Huffman *) section ‹Representable domains› theory Representable imports Algebraic ...

Representable K-Theory for σ-C*-algebras | Semantic Scholar

Semantic Scholar extracted view of "Representable K-Theory for σ-C*-algebras" by N. Phillips.

$v$-Representability and Density Functional Theory

It is shown that if $n(r)$ is the discrete density on a lattice (enclosed in a finite box) associated with a nondegenerate ground state in ...

Representable Functor - (Category Theory) - Fiveable

Category Theory. Definition. A representable functor is a type of functor that is naturally isomorphic to the hom-functor, meaning it can be expressed ...