Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Non-measurable_set> ?p ?o }
Showing triples 1 to 88 of
88
with 100 triples per page.
- Non-measurable_set abstract "This page gives a general overview of the concept of non-measurable sets. For a precise definition of measure, see Measure (mathematics). For various constructions of non-measurable sets, see Vitali set, Hausdorff paradox, and Banach–Tarski paradox.In mathematics, a non-measurable set is a set which cannot be assigned a meaningful "size". The mathematical existence of such sets is construed to shed light on the notions of length, area and volume in formal set theory.The notion of a non-measurable set has been a source of great controversy since its introduction. Historically, this led Borel and Kolmogorov to formulate probability theory on sets which are constrained to be measurable. The measurable sets on the line are iterated countable unions and intersections of intervals (called Borel sets) plus-minus null sets. These sets are rich enough to include every conceivable definition of a set that arises in standard mathematics, but they require a lot of formalism to prove that sets are measurable.In 1970, Solovay constructed Solovay's model, which shows that it is consistent with standard set theory, excluding uncountable choice, that all subsets of the reals are measurable.".
- Non-measurable_set wikiPageID "620134".
- Non-measurable_set wikiPageLength "6694".
- Non-measurable_set wikiPageOutDegree "53".
- Non-measurable_set wikiPageRevisionID "655133809".
- Non-measurable_set wikiPageWikiLink A._K._Dewdney.
- Non-measurable_set wikiPageWikiLink Alexander_Dewdney.
- Non-measurable_set wikiPageWikiLink Anagram.
- Non-measurable_set wikiPageWikiLink Andrey_Kolmogorov.
- Non-measurable_set wikiPageWikiLink April_Fools_Day.
- Non-measurable_set wikiPageWikiLink Area.
- Non-measurable_set wikiPageWikiLink Axiom_of_choice.
- Non-measurable_set wikiPageWikiLink Axiom_of_countable_choice.
- Non-measurable_set wikiPageWikiLink Axiom_of_dependent_choice.
- Non-measurable_set wikiPageWikiLink Ball_(mathematics).
- Non-measurable_set wikiPageWikiLink Banach–Alaoglu_theorem.
- Non-measurable_set wikiPageWikiLink Banach–Tarski_paradox.
- Non-measurable_set wikiPageWikiLink Boolean_prime_ideal_theorem.
- Non-measurable_set wikiPageWikiLink Borel_set.
- Non-measurable_set wikiPageWikiLink Category:Measure_theory.
- Non-measurable_set wikiPageWikiLink Countable_additivity.
- Non-measurable_set wikiPageWikiLink Countable_choice.
- Non-measurable_set wikiPageWikiLink Dependent_choice.
- Non-measurable_set wikiPageWikiLink Determinacy.
- Non-measurable_set wikiPageWikiLink Dimension.
- Non-measurable_set wikiPageWikiLink Existential_quantification.
- Non-measurable_set wikiPageWikiLink Fourier_series.
- Non-measurable_set wikiPageWikiLink Fourier_transform.
- Non-measurable_set wikiPageWikiLink Fourier_transforms.
- Non-measurable_set wikiPageWikiLink General_topology.
- Non-measurable_set wikiPageWikiLink Geometric_measure_theory.
- Non-measurable_set wikiPageWikiLink Group_action.
- Non-measurable_set wikiPageWikiLink Hausdorff_paradox.
- Non-measurable_set wikiPageWikiLink Inaccessible_cardinal.
- Non-measurable_set wikiPageWikiLink Isometries.
- Non-measurable_set wikiPageWikiLink Isometry.
- Non-measurable_set wikiPageWikiLink Kolmogorov.
- Non-measurable_set wikiPageWikiLink Krein–Milman_theorem.
- Non-measurable_set wikiPageWikiLink Lebesgue_measure.
- Non-measurable_set wikiPageWikiLink Length.
- Non-measurable_set wikiPageWikiLink Mathematical_existence.
- Non-measurable_set wikiPageWikiLink Mathematics.
- Non-measurable_set wikiPageWikiLink Measure_(mathematics).
- Non-measurable_set wikiPageWikiLink Non-Borel_set.
- Non-measurable_set wikiPageWikiLink Null_set.
- Non-measurable_set wikiPageWikiLink Point-set_topology.
- Non-measurable_set wikiPageWikiLink Potential_theory.
- Non-measurable_set wikiPageWikiLink Probability.
- Non-measurable_set wikiPageWikiLink Riemann_integral.
- Non-measurable_set wikiPageWikiLink Riemann_integration.
- Non-measurable_set wikiPageWikiLink Robert_M._Solovay.
- Non-measurable_set wikiPageWikiLink Scientific_American.
- Non-measurable_set wikiPageWikiLink Set_(mathematics).
- Non-measurable_set wikiPageWikiLink Sigma_additivity.
- Non-measurable_set wikiPageWikiLink Solovay_model.
- Non-measurable_set wikiPageWikiLink Solovays_model.
- Non-measurable_set wikiPageWikiLink Tychonoffs_theorem.
- Non-measurable_set wikiPageWikiLink Vitali_set.
- Non-measurable_set wikiPageWikiLink Volume.
- Non-measurable_set wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Non-measurable_set wikiPageWikiLink Émile_Borel.
- Non-measurable_set wikiPageWikiLinkText ""measured"".
- Non-measurable_set wikiPageWikiLinkText "Non-measurable set".
- Non-measurable_set wikiPageWikiLinkText "complicated subsets".
- Non-measurable_set wikiPageWikiLinkText "non-measurable set".
- Non-measurable_set wikiPageWikiLinkText "non-measurable subset".
- Non-measurable_set wikiPageWikiLinkText "non-measurable".
- Non-measurable_set wikiPageWikiLinkText "not measurable".
- Non-measurable_set hasPhotoCollection Non-measurable_set.
- Non-measurable_set wikiPageUsesTemplate Template:Cite_journal.
- Non-measurable_set wikiPageUsesTemplate Template:Refbegin.
- Non-measurable_set wikiPageUsesTemplate Template:Refend.
- Non-measurable_set wikiPageUsesTemplate Template:Refimprove.
- Non-measurable_set wikiPageUsesTemplate Template:Reflist.
- Non-measurable_set subject Category:Measure_theory.
- Non-measurable_set type Article.
- Non-measurable_set type Article.
- Non-measurable_set comment "This page gives a general overview of the concept of non-measurable sets. For a precise definition of measure, see Measure (mathematics). For various constructions of non-measurable sets, see Vitali set, Hausdorff paradox, and Banach–Tarski paradox.In mathematics, a non-measurable set is a set which cannot be assigned a meaningful "size".".
- Non-measurable_set label "Non-measurable set".
- Non-measurable_set sameAs Tribu_de_Lebesgue.
- Non-measurable_set sameAs Insieme_non_misurabile.
- Non-measurable_set sameAs 비가측_집합.
- Non-measurable_set sameAs Niet-meetbare_verzameling.
- Non-measurable_set sameAs m.02xddn.
- Non-measurable_set sameAs Q1055379.
- Non-measurable_set sameAs Q1055379.
- Non-measurable_set wasDerivedFrom Non-measurable_set?oldid=655133809.
- Non-measurable_set isPrimaryTopicOf Non-measurable_set.