Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Ultrafilter> ?p ?o }
- Ultrafilter abstract "In the mathematical field of set theory, an ultrafilter is a maximal filter, that is, a filter that cannot be enlarged. Filters and ultrafilters are special subsets of partially ordered sets. Ultrafilters can also be defined on Boolean algebras and sets: An ultrafilter on a poset P is a maximal filter on P. An ultrafilter on a Boolean algebra B is an ultrafilter on the poset of non-zero elements of B. An ultrafilter on a set X is an ultrafilter on the Boolean algebra of subsets of X.Rather confusingly, an ultrafilter on a poset P or Boolean algebra B is a subset of P or B, while an ultrafilter on a set X is a collection of subsets of X. Ultrafilters have many applications in set theory, model theory, and topology.An ultrafilter on a set X has some special properties. For example, given any subset A of X, the ultrafilter must contain either A or its complement X \ A. In addition, an ultrafilter on a set X may be considered as a finitely additive measure. In this view, every subset of X is either considered "almost everything" (has measure 1) or "almost nothing" (has measure 0).".
- Ultrafilter wikiPageExternalLink home.html.
- Ultrafilter wikiPageID "31911".
- Ultrafilter wikiPageLength "17795".
- Ultrafilter wikiPageOutDegree "88".
- Ultrafilter wikiPageRevisionID "679000534".
- Ultrafilter wikiPageWikiLink 2-valued_morphism.
- Ultrafilter wikiPageWikiLink Almost_everywhere.
- Ultrafilter wikiPageWikiLink Arrows_impossibility_theorem.
- Ultrafilter wikiPageWikiLink Axiom_of_choice.
- Ultrafilter wikiPageWikiLink Bijection.
- Ultrafilter wikiPageWikiLink Boolean_algebra.
- Ultrafilter wikiPageWikiLink Boolean_algebra_(structure).
- Ultrafilter wikiPageWikiLink Boolean_algebras.
- Ultrafilter wikiPageWikiLink Boolean_prime_ideal_theorem.
- Ultrafilter wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Ultrafilter wikiPageWikiLink Cardinal_number.
- Ultrafilter wikiPageWikiLink Category:Non-standard_analysis.
- Ultrafilter wikiPageWikiLink Category:Order_theory.
- Ultrafilter wikiPageWikiLink Category:Set_families.
- Ultrafilter wikiPageWikiLink Cofinite_subset.
- Ultrafilter wikiPageWikiLink Cofiniteness.
- Ultrafilter wikiPageWikiLink Compact_space.
- Ultrafilter wikiPageWikiLink Complement_(set_theory).
- Ultrafilter wikiPageWikiLink Continuum_hypothesis.
- Ultrafilter wikiPageWikiLink Discrete_space.
- Ultrafilter wikiPageWikiLink Domain_of_discourse.
- Ultrafilter wikiPageWikiLink Elementary_equivalence.
- Ultrafilter wikiPageWikiLink Elementary_extension.
- Ultrafilter wikiPageWikiLink Filter_(mathematics).
- Ultrafilter wikiPageWikiLink Finite_intersection_property.
- Ultrafilter wikiPageWikiLink Finitely_additive.
- Ultrafilter wikiPageWikiLink First-order_logic.
- Ultrafilter wikiPageWikiLink Fréchet_filter.
- Ultrafilter wikiPageWikiLink Geometric_group_theory.
- Ultrafilter wikiPageWikiLink Glossary_of_topology.
- Ultrafilter wikiPageWikiLink Greatest_element.
- Ultrafilter wikiPageWikiLink Gxc3xb6dels_ontological_proof.
- Ultrafilter wikiPageWikiLink Hausdorff_space.
- Ultrafilter wikiPageWikiLink Homomorphism.
- Ultrafilter wikiPageWikiLink Hyperreal_number.
- Ultrafilter wikiPageWikiLink Ideal_(order_theory).
- Ultrafilter wikiPageWikiLink Independence_(mathematical_logic).
- Ultrafilter wikiPageWikiLink Index_set.
- Ultrafilter wikiPageWikiLink Intersection_(set_theory).
- Ultrafilter wikiPageWikiLink Kernel_(set_theory).
- Ultrafilter wikiPageWikiLink Least_element.
- Ultrafilter wikiPageWikiLink Martins_axiom.
- Ultrafilter wikiPageWikiLink Mathematics.
- Ultrafilter wikiPageWikiLink Maximal_element.
- Ultrafilter wikiPageWikiLink Maximal_ideal.
- Ultrafilter wikiPageWikiLink Measurable_cardinal.
- Ultrafilter wikiPageWikiLink Measure_(mathematics).
- Ultrafilter wikiPageWikiLink Metric_space.
- Ultrafilter wikiPageWikiLink Minimal_element.
- Ultrafilter wikiPageWikiLink Model_theory.
- Ultrafilter wikiPageWikiLink Net_(mathematics).
- Ultrafilter wikiPageWikiLink Order_theory.
- Ultrafilter wikiPageWikiLink P-point.
- Ultrafilter wikiPageWikiLink Partially_ordered_set.
- Ultrafilter wikiPageWikiLink Partition_of_a_set.
- Ultrafilter wikiPageWikiLink Power_set.
- Ultrafilter wikiPageWikiLink Powerset.
- Ultrafilter wikiPageWikiLink Preorder.
- Ultrafilter wikiPageWikiLink Prime_filter.
- Ultrafilter wikiPageWikiLink Ramseys_theorem.
- Ultrafilter wikiPageWikiLink Real_number.
- Ultrafilter wikiPageWikiLink Real_numbers.
- Ultrafilter wikiPageWikiLink Relative_complement.
- Ultrafilter wikiPageWikiLink Saharon_Shelah.
- Ultrafilter wikiPageWikiLink Set_(mathematics).
- Ultrafilter wikiPageWikiLink Set_theory.
- Ultrafilter wikiPageWikiLink Sigma_additivity.
- Ultrafilter wikiPageWikiLink Social_choice_theory.
- Ultrafilter wikiPageWikiLink Springer-Verlag.
- Ultrafilter wikiPageWikiLink Springer_Science+Business_Media.
- Ultrafilter wikiPageWikiLink Stones_representation_theorem_for_Boolean_algebras.
- Ultrafilter wikiPageWikiLink Stone–Čech_compactification.
- Ultrafilter wikiPageWikiLink Subset.
- Ultrafilter wikiPageWikiLink Superset.
- Ultrafilter wikiPageWikiLink Topological_space.
- Ultrafilter wikiPageWikiLink Topology.
- Ultrafilter wikiPageWikiLink Ultrafilter_lemma.
- Ultrafilter wikiPageWikiLink Ultralimit.
- Ultrafilter wikiPageWikiLink Ultraproduct.
- Ultrafilter wikiPageWikiLink Universal_net.
- Ultrafilter wikiPageWikiLink Walter_Rudin.
- Ultrafilter wikiPageWikiLink ZFC.
- Ultrafilter wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Ultrafilter wikiPageWikiLink Zorns_Lemma.
- Ultrafilter wikiPageWikiLink Zorns_lemma.
- Ultrafilter wikiPageWikiLink xc5x81oxc5x9b_theorem.
- Ultrafilter wikiPageWikiLinkText "Rudin-Keisler ordering".
- Ultrafilter wikiPageWikiLinkText "Ultrafilter".
- Ultrafilter wikiPageWikiLinkText "Ultrafilter#Ordering on ultrafilters".
- Ultrafilter wikiPageWikiLinkText "Ultrafilter#Types and existence of ultrafilters".
- Ultrafilter wikiPageWikiLinkText "countable completeness".
- Ultrafilter wikiPageWikiLinkText "countably complete".
- Ultrafilter wikiPageWikiLinkText "free ultrafilter".
- Ultrafilter wikiPageWikiLinkText "free ultrafilters".