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- Complete_category abstract "In mathematics, a complete category is a category in which all small limits exist. That is, a category C is complete if every diagram F : J → C where J is small has a limit in C. Dually, a cocomplete category is one in which all small colimits exist. A bicomplete category is a category which is both complete and cocomplete.The existence of all limits (even when J is a proper class) is too strong to be practically relevant. Any category with this property is necessarily a thin category: for any two objects there can be at most one morphism from one object to the other.A weaker form of completeness is that of finite completeness. A category is finitely complete if all finite limits exists (i.e. limits of diagrams indexed by a finite category J). Dually, a category is finitely cocomplete if all finite colimits exist.".
- Complete_category wikiPageExternalLink acc.pdf.
- Complete_category wikiPageID "62781".
- Complete_category wikiPageLength "5053".
- Complete_category wikiPageOutDegree "47".
- Complete_category wikiPageRevisionID "648028984".
- Complete_category wikiPageWikiLink Abelian_category.
- Complete_category wikiPageWikiLink Abelian_group.
- Complete_category wikiPageWikiLink Categories_for_the_Working_Mathematician.
- Complete_category wikiPageWikiLink Category:Limits_(category_theory).
- Complete_category wikiPageWikiLink Category_(mathematics).
- Complete_category wikiPageWikiLink Category_of_abelian_groups.
- Complete_category wikiPageWikiLink Category_of_groups.
- Complete_category wikiPageWikiLink Category_of_metric_spaces.
- Complete_category wikiPageWikiLink Category_of_modules.
- Complete_category wikiPageWikiLink Category_of_rings.
- Complete_category wikiPageWikiLink Category_of_sets.
- Complete_category wikiPageWikiLink Category_of_small_categories.
- Complete_category wikiPageWikiLink Category_of_topological_spaces.
- Complete_category wikiPageWikiLink Class_(set_theory).
- Complete_category wikiPageWikiLink Coequalizer.
- Complete_category wikiPageWikiLink Commutative_ring.
- Complete_category wikiPageWikiLink Compact_space.
- Complete_category wikiPageWikiLink Complete_lattice.
- Complete_category wikiPageWikiLink Coproduct.
- Complete_category wikiPageWikiLink Diagram_(category_theory).
- Complete_category wikiPageWikiLink Dimension_(vector_space).
- Complete_category wikiPageWikiLink Dual_(category_theory).
- Complete_category wikiPageWikiLink Equaliser_(mathematics).
- Complete_category wikiPageWikiLink Field_(mathematics).
- Complete_category wikiPageWikiLink Finite_set.
- Complete_category wikiPageWikiLink If_and_only_if.
- Complete_category wikiPageWikiLink Initial_and_terminal_objects.
- Complete_category wikiPageWikiLink Limit_(category_theory).
- Complete_category wikiPageWikiLink Mathematics.
- Complete_category wikiPageWikiLink Ordinal_number.
- Complete_category wikiPageWikiLink Partially_ordered_set.
- Complete_category wikiPageWikiLink Posetal_category.
- Complete_category wikiPageWikiLink Pre-abelian_category.
- Complete_category wikiPageWikiLink Preordered_class.
- Complete_category wikiPageWikiLink Product_(category_theory).
- Complete_category wikiPageWikiLink Pullback_(category_theory).
- Complete_category wikiPageWikiLink Pushout_(category_theory).
- Complete_category wikiPageWikiLink Trivial_group.
- Complete_category wikiPageWikiLinkText "Complete category".
- Complete_category wikiPageWikiLinkText "co-complete".
- Complete_category wikiPageWikiLinkText "cocomplete".
- Complete_category wikiPageWikiLinkText "complete and co-complete".
- Complete_category wikiPageWikiLinkText "complete and cocomplete category".
- Complete_category wikiPageWikiLinkText "complete and cocomplete".
- Complete_category wikiPageWikiLinkText "complete categories".
- Complete_category wikiPageWikiLinkText "complete category".
- Complete_category wikiPageWikiLinkText "complete".
- Complete_category wikiPageWikiLinkText "completeness".
- Complete_category wikiPageUsesTemplate Template:Cite_book.
- Complete_category wikiPageUsesTemplate Template:Unreferenced-section.
- Complete_category subject Category:Limits_(category_theory).
- Complete_category hypernym Category.
- Complete_category type TelevisionStation.
- Complete_category comment "In mathematics, a complete category is a category in which all small limits exist. That is, a category C is complete if every diagram F : J → C where J is small has a limit in C. Dually, a cocomplete category is one in which all small colimits exist. A bicomplete category is a category which is both complete and cocomplete.The existence of all limits (even when J is a proper class) is too strong to be practically relevant.".
- Complete_category label "Complete category".
- Complete_category sameAs Q4370335.
- Complete_category sameAs 완비_범주.
- Complete_category sameAs m.03hfss5.
- Complete_category sameAs Полная_категория.
- Complete_category sameAs Повна_категорія.
- Complete_category sameAs Q4370335.
- Complete_category wasDerivedFrom Complete_category?oldid=648028984.
- Complete_category isPrimaryTopicOf Complete_category.