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Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Schröder–Bernstein_theorem> ?p ?o }

• Schröder–Bernstein_theorem abstract "In set theory, the Schröder–Bernstein theorem, named after Felix Bernstein and Ernst Schröder, states that, if there exist injective functions f : A → B and g : B → A between the sets A and B, then there exists a bijective function h : A → B. In terms of the cardinality of the two sets, this means that if |A| ≤ |B| and |B| ≤ |A|, then |A| = |B|; that is, A and B are equipollent. This is a useful feature in the ordering of cardinal numbers.The theorem is also known as the Cantor–Bernstein theorem, or the Cantor–Schroeder–Bernstein theorem (named after Georg Cantor).This theorem does not rely on the axiom of choice. However, its various proofs are non-constructive, as they depend on the law of excluded middle, and are therefore rejected by intuitionists.".
• Schröder–Bernstein_theorem thumbnail Cantor-Bernstein.png?width=300.
• Schröder–Bernstein_theorem wikiPageID "44218028".
• Schröder–Bernstein_theorem wikiPageLength "16229".
• Schröder–Bernstein_theorem wikiPageOutDegree "42".
• Schröder–Bernstein_theorem wikiPageRevisionID "679068360".
• Schröder–Bernstein_theorem wikiPageWikiLink Alwin_Korselt.
• Schröder–Bernstein_theorem wikiPageWikiLink Axiom_of_choice.
• Schröder–Bernstein_theorem wikiPageWikiLink Bijection.
• Schröder–Bernstein_theorem wikiPageWikiLink Cardinal_number.
• Schröder–Bernstein_theorem wikiPageWikiLink Cardinality.
• Schröder–Bernstein_theorem wikiPageWikiLink Category:Articles_containing_proofs.
• Schröder–Bernstein_theorem wikiPageWikiLink Category:Cardinal_numbers.
• Schröder–Bernstein_theorem wikiPageWikiLink Category:Theorems_in_the_foundations_of_mathematics.
• Schröder–Bernstein_theorem wikiPageWikiLink Constructive_proof.
• Schröder–Bernstein_theorem wikiPageWikiLink Corollary.
• Schröder–Bernstein_theorem wikiPageWikiLink Disjoint_sets.
• Schröder–Bernstein_theorem wikiPageWikiLink Equinumerosity.
• Schröder–Bernstein_theorem wikiPageWikiLink Ernst_Schröder.
• Schröder–Bernstein_theorem wikiPageWikiLink Ernst_Zermelo.
• Schröder–Bernstein_theorem wikiPageWikiLink Felix_Bernstein_(mathematician).
• Schröder–Bernstein_theorem wikiPageWikiLink Friedrich_Hartogs.
• Schröder–Bernstein_theorem wikiPageWikiLink Georg_Cantor.
• Schröder–Bernstein_theorem wikiPageWikiLink Gyula_Kőnig.
• Schröder–Bernstein_theorem wikiPageWikiLink Injective_function.
• Schröder–Bernstein_theorem wikiPageWikiLink International_Congress_of_Mathematicians.
• Schröder–Bernstein_theorem wikiPageWikiLink Intuitionism.
• Schröder–Bernstein_theorem wikiPageWikiLink Knaster–Tarski_theorem.
• Schröder–Bernstein_theorem wikiPageWikiLink Law_of_excluded_middle.
• Schröder–Bernstein_theorem wikiPageWikiLink Myhill_isomorphism_theorem.
• Schröder–Bernstein_theorem wikiPageWikiLink Partition_of_a_set.
• Schröder–Bernstein_theorem wikiPageWikiLink Richard_Dedekind.
• Schröder–Bernstein_theorem wikiPageWikiLink Schröder–Bernstein_property.
• Schröder–Bernstein_theorem wikiPageWikiLink Schröder–Bernstein_theorem_for_measurable_spaces.
• Schröder–Bernstein_theorem wikiPageWikiLink Schröder–Bernstein_theorems_for_operator_algebras.
• Schröder–Bernstein_theorem wikiPageWikiLink Sequence.
• Schröder–Bernstein_theorem wikiPageWikiLink Set_(mathematics).
• Schröder–Bernstein_theorem wikiPageWikiLink Set_theory.
• Schröder–Bernstein_theorem wikiPageWikiLink Well-ordering_theorem.
• Schröder–Bernstein_theorem wikiPageWikiLink William_Stanley_Jevons.
• Schröder–Bernstein_theorem wikiPageWikiLink Émile_Borel.
• Schröder–Bernstein_theorem wikiPageWikiLink File:Cantor-Bernstein.png.
• Schröder–Bernstein_theorem wikiPageWikiLink File:CantorEquivalenceTheorem1887b.gif.
• Schröder–Bernstein_theorem wikiPageWikiLinkText "Cantor – Bernstein – Schroeder theorem".
• Schröder–Bernstein_theorem wikiPageWikiLinkText "Schröder–Bernstein theorem".
• Schröder–Bernstein_theorem id "Cantor-Schroeder-Bernstein+theorem".
• Schröder–Bernstein_theorem title "Cantor-Schroeder-Bernstein theorem".
• Schröder–Bernstein_theorem title "Schröder-Bernstein Theorem".
• Schröder–Bernstein_theorem urlname "Schroeder-BernsteinTheorem".
• Schröder–Bernstein_theorem wikiPageUsesTemplate Template:Citation.
• Schröder–Bernstein_theorem wikiPageUsesTemplate Template:Citizendium.
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• Schröder–Bernstein_theorem wikiPageUsesTemplate Template:Nlab.
• Schröder–Bernstein_theorem subject Category:Articles_containing_proofs.
• Schröder–Bernstein_theorem subject Category:Cardinal_numbers.
• Schröder–Bernstein_theorem subject Category:Theorems_in_the_foundations_of_mathematics.
• Schröder–Bernstein_theorem hypernym Equipollent.
• Schröder–Bernstein_theorem type Diacritic.
• Schröder–Bernstein_theorem type Page.
• Schröder–Bernstein_theorem type Proof.
• Schröder–Bernstein_theorem type Redirect.
• Schröder–Bernstein_theorem type Source.
• Schröder–Bernstein_theorem type Theorem.
• Schröder–Bernstein_theorem comment "In set theory, the Schröder–Bernstein theorem, named after Felix Bernstein and Ernst Schröder, states that, if there exist injective functions f : A → B and g : B → A between the sets A and B, then there exists a bijective function h : A → B. In terms of the cardinality of the two sets, this means that if |A| ≤ |B| and |B| ≤ |A|, then |A| = |B|; that is, A and B are equipollent.".
• Schröder–Bernstein_theorem label "Schröder–Bernstein theorem".
• Schröder–Bernstein_theorem sameAs Q1033910.
• Schröder–Bernstein_theorem sameAs Teorema_de_Schröder-Bernstein.
• Schröder–Bernstein_theorem sameAs Cantorova-Bernsteinova_věta.
• Schröder–Bernstein_theorem sameAs Satz_von_Cantor-Bernstein-Schröder.
• Schröder–Bernstein_theorem sameAs Teorema_de_Cantor-Bernstein-Schröder.
• Schröder–Bernstein_theorem sameAs Cantorin–Schröderin–Bernsteinin_lause.
• Schröder–Bernstein_theorem sameAs Théorème_de_Cantor-Bernstein.
• Schröder–Bernstein_theorem sameAs משפט_קנטור-שרדר-ברנשטיין.
• Schröder–Bernstein_theorem sameAs Teorema_di_Cantor-Bernstein-Schröder.
• Schröder–Bernstein_theorem sameAs ベルンシュタインの定理.
• Schröder–Bernstein_theorem sameAs Stelling_van_Cantor-Bernstein-Schröder.
• Schröder–Bernstein_theorem sameAs Twierdzenie_Cantora-Bernsteina-Schrödera.
• Schröder–Bernstein_theorem sameAs Teorema_de_Cantor-Bernstein-Schroeder.
• Schröder–Bernstein_theorem sameAs m.015x7k.
• Schröder–Bernstein_theorem sameAs Теорема_Кантора_—_Бернштейна.
• Schröder–Bernstein_theorem sameAs Cantorova-Bernsteinova_veta.
• Schröder–Bernstein_theorem sameAs Теорема_Кантора_—_Бернштейна.
• Schröder–Bernstein_theorem sameAs Q1033910.
• Schröder–Bernstein_theorem sameAs 康托尔－伯恩斯坦－施罗德定理.
• Schröder–Bernstein_theorem wasDerivedFrom Schröder–Bernstein_theorem?oldid=679068360.
• Schröder–Bernstein_theorem depiction Cantor-Bernstein.png.
• Schröder–Bernstein_theorem isPrimaryTopicOf Schröder–Bernstein_theorem.