How to pronounce “free category”

Meaning

• [Noun]
• (category theory) A category that is induced by a multidigraph thus: it has as its objects the vertices of the multidigraph and its morphisms are paths in the multidigraph; composition of morphisms is concatenation of paths, as long as the end of one path coincides with the beginning of the other path; an identity morphism of an object is an “empty path” at that vertex.

Practice Nearby Words

slice category, bicategory, discrete category, small category, multicategory, category, diagonal morphism, diagram, functor, formation, identity functor, comma category, balanced category, direct product, functor category, group object, projection, graph, universal morphism, generalized element, morphism, global element, cocategory, monomorphism, sieve, full functor, hom-set, natural transformation, inverse, categorical dual, monad, zero morphism, morphism set, overcategory, monoidal category, site, twist morphism, adjunction, subcategory, group functor, direct system, monodromy, categorification, grothendieck topology, subobject, underlying functor, cohomology, epimorphism, endofunctor, tricategory, overfunctor, schemoid, split monomorphism, intersection, object, fiber, cartesian closed category, fibre, contravariant functor, profunctor, faithful functor, cokernel, biproduct, direct limit, injection, allegory, mono, bicartesian closed category, unit, decategorification, classifying morphism, semigroupoid, initial object, relation, cocone, presheaf, pregroupoid, topos, kernel, groupoid, multidigraph, adjoint, terminal object, cone, universal property, category theory, endobifunctor, kleisli category, tetracategory, colimit, subfunctor, limit, abstract nonsense, comonad, bifunctor, multigraph, additive group, cocompletion, goguen category, natural isomorphism

Similar Sounds

precatory, subcategory, scattergories, secretory, sarcastically, sicari, sarcophagi, solitary, sakari, sakigake