Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Category_of_small_categories> ?p ?o }
Showing triples 1 to 43 of
43
with 100 triples per page.
- Category_of_small_categories abstract "In mathematics, specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms are functors between categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms.The category Cat is itself a large category, and therefore not an object of itself. In order to avoid problems analogous to Russell's paradox one cannot form the “category of all categories”. But it is possible to form a quasicategory of all categories.".
- Category_of_small_categories wikiPageID "2072741".
- Category_of_small_categories wikiPageLength "1221".
- Category_of_small_categories wikiPageOutDegree "18".
- Category_of_small_categories wikiPageRevisionID "683162852".
- Category_of_small_categories wikiPageWikiLink 2-category.
- Category_of_small_categories wikiPageWikiLink 2-morphism.
- Category_of_small_categories wikiPageWikiLink Adjoint_functors.
- Category_of_small_categories wikiPageWikiLink Category:Category-theoretic_categories.
- Category_of_small_categories wikiPageWikiLink Category_(mathematics).
- Category_of_small_categories wikiPageWikiLink Category_theory.
- Category_of_small_categories wikiPageWikiLink Forgetful_functor.
- Category_of_small_categories wikiPageWikiLink Free_category.
- Category_of_small_categories wikiPageWikiLink Functor.
- Category_of_small_categories wikiPageWikiLink Large_category.
- Category_of_small_categories wikiPageWikiLink Left_adjoint.
- Category_of_small_categories wikiPageWikiLink Mathematics.
- Category_of_small_categories wikiPageWikiLink Morphism.
- Category_of_small_categories wikiPageWikiLink Natural_transformation.
- Category_of_small_categories wikiPageWikiLink Quasi-category.
- Category_of_small_categories wikiPageWikiLink Quiver_(mathematics).
- Category_of_small_categories wikiPageWikiLink Quiver_category.
- Category_of_small_categories wikiPageWikiLink Russells_paradox.
- Category_of_small_categories wikiPageWikiLink Small_category.
- Category_of_small_categories wikiPageWikiLinkText "Cat".
- Category_of_small_categories wikiPageWikiLinkText "Category of small categories".
- Category_of_small_categories wikiPageWikiLinkText "category of categories and functors".
- Category_of_small_categories wikiPageWikiLinkText "category of small categories".
- Category_of_small_categories wikiPageWikiLinkText "small categories".
- Category_of_small_categories hasPhotoCollection Category_of_small_categories.
- Category_of_small_categories wikiPageUsesTemplate Template:Categorytheory-stub.
- Category_of_small_categories wikiPageUsesTemplate Template:Nlab.
- Category_of_small_categories subject Category:Category-theoretic_categories.
- Category_of_small_categories hypernym Category.
- Category_of_small_categories type TelevisionStation.
- Category_of_small_categories comment "In mathematics, specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms are functors between categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms.The category Cat is itself a large category, and therefore not an object of itself. In order to avoid problems analogous to Russell's paradox one cannot form the “category of all categories”.".
- Category_of_small_categories label "Category of small categories".
- Category_of_small_categories sameAs m.06k7rl.
- Category_of_small_categories sameAs Категория_малых_категорий.
- Category_of_small_categories sameAs Q5051852.
- Category_of_small_categories sameAs Q5051852.
- Category_of_small_categories wasDerivedFrom Category_of_small_categories?oldid=683162852.
- Category_of_small_categories isPrimaryTopicOf Category_of_small_categories.