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- Functor abstract "In mathematics, a functor is a type of mapping between categories which is applied in category theory. Functors can be thought of as homomorphisms between categories. In the category of small categories, functors can be thought of more generally as morphisms.Functors were first considered in algebraic topology, where algebraic objects (like the fundamental group) are associated to topological spaces, and algebraic homomorphisms are associated to continuous maps. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are generally applicable in areas within mathematics that category theory can make an abstraction of.The word functor was borrowed by mathematicians from the philosopher Rudolf Carnap, who used the term in a linguistic context:see function word.".
- Functor wikiPageExternalLink acc.pdf.
- Functor wikiPageExternalLink week73.html.
- Functor wikiPageExternalLink events.
- Functor wikiPageExternalLink nlab.
- Functor wikiPageExternalLink category-theory.
- Functor wikiPageExternalLink wildcatsformma.wordpress.com.
- Functor wikiPageExternalLink webcats.php.
- Functor wikiPageExternalLink ~cat-dist.
- Functor wikiPageExternalLink TheCatsters.
- Functor wikiPageID "10987".
- Functor wikiPageLength "19358".
- Functor wikiPageOutDegree "119".
- Functor wikiPageRevisionID "682971573".
- Functor wikiPageWikiLink Abelian_group.
- Functor wikiPageWikiLink Adjoint_functors.
- Functor wikiPageWikiLink Algebra_homomorphism.
- Functor wikiPageWikiLink Algebraic_topology.
- Functor wikiPageWikiLink André_Joyal.
- Functor wikiPageWikiLink Associative_algebra.
- Functor wikiPageWikiLink Axiom.
- Functor wikiPageWikiLink Axiom_of_choice.
- Functor wikiPageWikiLink Category:Functors.
- Functor wikiPageWikiLink Category_(mathematics).
- Functor wikiPageWikiLink Category_of_abelian_groups.
- Functor wikiPageWikiLink Category_of_groups.
- Functor wikiPageWikiLink Category_of_modules.
- Functor wikiPageWikiLink Category_of_small_categories.
- Functor wikiPageWikiLink Category_of_vector_spaces.
- Functor wikiPageWikiLink Category_theory.
- Functor wikiPageWikiLink Colimit_functor.
- Functor wikiPageWikiLink Commutative_diagram.
- Functor wikiPageWikiLink Continuous_function.
- Functor wikiPageWikiLink Continuous_function_(topology).
- Functor wikiPageWikiLink Cotangent_space.
- Functor wikiPageWikiLink Derivative.
- Functor wikiPageWikiLink Diagonal_functor.
- Functor wikiPageWikiLink Diagram_(category_theory).
- Functor wikiPageWikiLink Differentiable_manifold.
- Functor wikiPageWikiLink Direct_limit.
- Functor wikiPageWikiLink Direct_product.
- Functor wikiPageWikiLink Direct_sum_of_modules.
- Functor wikiPageWikiLink Dual_space.
- Functor wikiPageWikiLink Equivalence_relation.
- Functor wikiPageWikiLink Field_(mathematics).
- Functor wikiPageWikiLink Forgetful_functor.
- Functor wikiPageWikiLink Free_group.
- Functor wikiPageWikiLink Free_object.
- Functor wikiPageWikiLink Freyd_adjoint_functor_theorem.
- Functor wikiPageWikiLink Function_(computer_programming).
- Functor wikiPageWikiLink Function_composition.
- Functor wikiPageWikiLink Function_word.
- Functor wikiPageWikiLink Functional_programming.
- Functor wikiPageWikiLink Functor_category.
- Functor wikiPageWikiLink Fundamental_group.
- Functor wikiPageWikiLink Group_(mathematics).
- Functor wikiPageWikiLink Group_action.
- Functor wikiPageWikiLink Group_homomorphism.
- Functor wikiPageWikiLink Groupoid.
- Functor wikiPageWikiLink Haskell_(programming_language).
- Functor wikiPageWikiLink Hom_functor.
- Functor wikiPageWikiLink Homomorphism.
- Functor wikiPageWikiLink Homotopy.
- Functor wikiPageWikiLink Image_(mathematics).
- Functor wikiPageWikiLink Index_category.
- Functor wikiPageWikiLink Inverse_image.
- Functor wikiPageWikiLink Inverse_limit.
- Functor wikiPageWikiLink Isomorphism.
- Functor wikiPageWikiLink Kan_extension.
- Functor wikiPageWikiLink Lie_algebra.
- Functor wikiPageWikiLink Lie_group.
- Functor wikiPageWikiLink Limit_(category_theory).
- Functor wikiPageWikiLink Linear_map.
- Functor wikiPageWikiLink Linear_operator.
- Functor wikiPageWikiLink Linear_representation.
- Functor wikiPageWikiLink Linguistics.
- Functor wikiPageWikiLink Map_(higher-order_function).
- Functor wikiPageWikiLink Mathematica.
- Functor wikiPageWikiLink Mathematics.
- Functor wikiPageWikiLink Monoid.
- Functor wikiPageWikiLink Morphism.
- Functor wikiPageWikiLink Natural_transformation.
- Functor wikiPageWikiLink Open_set.
- Functor wikiPageWikiLink Opposite_category.
- Functor wikiPageWikiLink Partially_ordered_set.
- Functor wikiPageWikiLink Philosopher.
- Functor wikiPageWikiLink Pointed_space.
- Functor wikiPageWikiLink Pointed_topological_space.
- Functor wikiPageWikiLink Polymorphism_(computer_science).
- Functor wikiPageWikiLink Polytypic_function.
- Functor wikiPageWikiLink Power_set.
- Functor wikiPageWikiLink Presheaf.
- Functor wikiPageWikiLink Presheaf_(category_theory).
- Functor wikiPageWikiLink Product_category.
- Functor wikiPageWikiLink Pseudofunctor.
- Functor wikiPageWikiLink Representable_functor.
- Functor wikiPageWikiLink Representation_theory.
- Functor wikiPageWikiLink Ring_(algebra).
- Functor wikiPageWikiLink Ring_(mathematics).
- Functor wikiPageWikiLink Ring_homomorphism.