About: Set function

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Function whose domain is a collection of sets

Property	Value
dbo:description	Unterklasse mathematischer Funktionen (de) function whose domain is a collection of sets (en) funció el domini de la qual és una col·lecció de conjunts (ca)
dbo:wikiPageExternalLink	http://www.encyclopediaofmath.org/ http://www.encyclopediaofmath.org/index.php/Regular_set_function
dbo:wikiPageWikiLink	dbr:Sigma-additive_set_function dbr:Valuation_(geometry) dbr:Family_of_sets dbr:Restriction_(mathematics) dbr:Wiktionary:archetypal dbr:Riemann_series_theorem dbr:Vector_measure dbr:Σ-algebra dbr:Possibility_theory dbc:Measures_(measure_theory) dbr:Complement_(set_theory) dbr:Countable_set dbr:Counting_measure dbr:Field_of_sets dbr:Seminorm dbr:Regular_measure dbr:Ring_of_sets dbr:Random_compact_set dbc:Basic_concepts_in_set_theory dbc:Functions_and_mappings dbr:Complex_number dbr:Function_(mathematics) dbr:Real_number dbr:Vector_space dbr:Absolute_value dbr:Binary_operation dbr:Random_element dbr:Codomain dbr:Boole's_inequality dbr:Pre-measure dbr:Unconditional_convergence dbr:Locally_finite_measure dbr:Radon_measure dbr:Absolute_convergence dbr:Topological_vector_space dbr:Complex_measure dbr:Domain_of_a_function dbr:Measure_(mathematics) dbr:Measure_theory dbr:Borel_set dbr:Signed_measure dbr:Inner_measure dbr:Singular_measure dbr:Decomposable_measure dbr:Natural_density dbr:Random_variable dbr:Subset dbr:Topology_(structure) dbr:Complete_measure dbr:Borel_regular_measure dbr:Outer_measure dbr:Valuation_(measure_theory) dbr:Probability_measure dbr:Power_set dbr:Strictly_positive_measure dbr:Pairwise_disjoint dbr:Sigma-algebra dbr:Projection-valued_measure dbr:Permutation dbr:Sample_space dbr:Plain_English dbr:Empty_set dbr:Random_measure dbr:Submodular_set_function dbr:Series_(mathematics) dbr:Bijection dbr:Union_(set_theory) dbr:Borel_measure dbr:Superadditivity dbr:Directed_set dbr:Baire_measure dbr:Carathéodory's_criterion dbr:Net_(mathematics) dbr:Seminormed_space dbr:Σ-finite_measure dbr:Banach_space dbr:Norm_(mathematics) dbr:Lebesgue_measure dbr:Carathéodory's_extension_theorem dbr:Extended_real_number_line dbr:Baire_set dbr:Absolute_continuity_(measure_theory) dbr:Radon–Nikodym_derivative dbr:Τ-additivity dbr:Algebra_of_sets dbr:Normed_space dbr:Outer_regular_measure dbr:Inner_regular_measure dbr:Well-behaved dbr:Random_set dbr:Finitely_additive_set_function dbr:Powerset dbr:Well-defined dbr:Convergent_net dbr:Domination_(measure_theory) dbr:Countably_infinite dbr:Carathéodory-measurable_set dbr:Indexing_set dbr:Modular_set_function dbr:Semialgebra dbr:Total_variation_(measure_theory) dbr:Translation_invariant
dbp:first	V.I. (en)
dbp:group	proof (en)
dbp:id	S/s084730 (en)
dbp:last	Sobolev (en)
dbp:mathStatement	If is any abelian group then there exists a finitely additive and translation-invariant set function of mass (en)
dbp:name	Theorem (en)
dbp:title	Set function (en)
dbp:wikiPageUsesTemplate	dbt:Families_of_sets dbt:Sfn_whitelist dbt:Kolmogorov_Fomin_Elements_of_the_Theory_of_Functions_and_Functional_Analysis dbt:Reflist dbt:Sfn dbt:Analysis_in_topological_vector_spaces dbt:Sigma dbt:See_also dbt:Use_American_English dbt:Rudin_Walter_Functional_Analysis dbt:Measure_theory dbt:Visible_anchor dbt:Em dbt:Math_theorem dbt:Isbn dbt:Springer dbt:Annotated_link dbt:Durrett_Probability_Theory_and_Examples_5th_Edition dbt:Royden_Fitzpatrick_Real_Analysis_4th_2010 dbt:Short_description
dct:subject	dbc:Measures_(measure_theory) dbc:Basic_concepts_in_set_theory dbc:Functions_and_mappings dbc:Measure_theory
gold:hypernym	dbr:Function
rdfs:label	Set function (en) Mengenfunktion (de) 集合函数 (ja) Функция множеств (ru)
rdfs:seeAlso	dbr:Pre-measure dbr:Outer_measure dbr:Carathéodory's_extension_theorem dbr:Gaussian_measure dbr:Radon–Nikodym_theorem
owl:sameAs	freebase:Set function yago-res:Set function wikidata:Set function dbpedia-de:Set function dbpedia-ja:Set function dbpedia-ru:Set function dbpedia-et:Set function dbpedia-global:Set function
prov:wasDerivedFrom	wikipedia-en:Set_function?oldid=1251642420&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Set_function
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is foaf:primaryTopic of	wikipedia-en:Set_function