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- Michael_selection_theorem abstract "In functional analysis, a branch of mathematics, the most popular version of the Michael selection theorem, named after Ernest Michael, states the following: Let E be a Banach space, X a paracompact space and φ : X → E a lower hemicontinuous multivalued map with nonempty convex closed values. Then there exists a continuous selection f : X → E of φ. Conversely, if any lower semicontinuous multimap from topological space X to a Banach space, with nonempty convex closed values admits continuous selection, then X is paracompact. This provides another characterization for paracompactness.".
- Michael_selection_theorem wikiPageExternalLink 1401.2257.
- Michael_selection_theorem wikiPageID "17970233".
- Michael_selection_theorem wikiPageLength "2868".
- Michael_selection_theorem wikiPageOutDegree "22".
- Michael_selection_theorem wikiPageRevisionID "675690997".
- Michael_selection_theorem wikiPageWikiLink Annals_of_Mathematics.
- Michael_selection_theorem wikiPageWikiLink Banach_space.
- Michael_selection_theorem wikiPageWikiLink Category:Compactness_theorems.
- Michael_selection_theorem wikiPageWikiLink Category:Continuous_mappings.
- Michael_selection_theorem wikiPageWikiLink Category:Properties_of_topological_spaces.
- Michael_selection_theorem wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Michael_selection_theorem wikiPageWikiLink Choice_function.
- Michael_selection_theorem wikiPageWikiLink Closed_set.
- Michael_selection_theorem wikiPageWikiLink Continuous_function.
- Michael_selection_theorem wikiPageWikiLink Continuous_function_(topology).
- Michael_selection_theorem wikiPageWikiLink Converse_(logic).
- Michael_selection_theorem wikiPageWikiLink Convex_set.
- Michael_selection_theorem wikiPageWikiLink Dušan_Repovš.
- Michael_selection_theorem wikiPageWikiLink Ernest_Michael.
- Michael_selection_theorem wikiPageWikiLink Functional_analysis.
- Michael_selection_theorem wikiPageWikiLink Hellys_selection_theorem.
- Michael_selection_theorem wikiPageWikiLink Hemicontinuity.
- Michael_selection_theorem wikiPageWikiLink Kuratowski,_Ryll-Nardzewski_measurable_selection_theorem.
- Michael_selection_theorem wikiPageWikiLink Multivalued_function.
- Michael_selection_theorem wikiPageWikiLink Paracompact.
- Michael_selection_theorem wikiPageWikiLink Paracompact_space.
- Michael_selection_theorem wikiPageWikiLink Robert_Aumann.
- Michael_selection_theorem wikiPageWikiLinkText "Michael selection theorem".
- Michael_selection_theorem wikiPageWikiLinkText "Michael selection theorem#Other selection theorems".
- Michael_selection_theorem hasPhotoCollection Michael_selection_theorem.
- Michael_selection_theorem wikiPageUsesTemplate Template:Citation.
- Michael_selection_theorem wikiPageUsesTemplate Template:Cite_book.
- Michael_selection_theorem subject Category:Compactness_theorems.
- Michael_selection_theorem subject Category:Continuous_mappings.
- Michael_selection_theorem subject Category:Properties_of_topological_spaces.
- Michael_selection_theorem subject Category:Theorems_in_functional_analysis.
- Michael_selection_theorem type Function.
- Michael_selection_theorem type Mapping.
- Michael_selection_theorem type Property.
- Michael_selection_theorem type Space.
- Michael_selection_theorem type Theorem.
- Michael_selection_theorem comment "In functional analysis, a branch of mathematics, the most popular version of the Michael selection theorem, named after Ernest Michael, states the following: Let E be a Banach space, X a paracompact space and φ : X → E a lower hemicontinuous multivalued map with nonempty convex closed values. Then there exists a continuous selection f : X → E of φ.".
- Michael_selection_theorem label "Michael selection theorem".
- Michael_selection_theorem sameAs Théorème_de_sélection_de_Michael.
- Michael_selection_theorem sameAs m.047th0x.
- Michael_selection_theorem sameAs Q6835566.
- Michael_selection_theorem sameAs Q6835566.
- Michael_selection_theorem wasDerivedFrom Michael_selection_theorem?oldid=675690997.
- Michael_selection_theorem isPrimaryTopicOf Michael_selection_theorem.