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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 semicontinuous 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 wikiPageID "17970233".
- Michael_selection_theorem wikiPageRevisionID "570780905".
- Michael_selection_theorem hasPhotoCollection Michael_selection_theorem.
- 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 Abstraction100002137.
- Michael_selection_theorem type Communication100033020.
- Michael_selection_theorem type CompactnessTheorems.
- Michael_selection_theorem type ContinuousMappings.
- Michael_selection_theorem type Function113783816.
- Michael_selection_theorem type MathematicalRelation113783581.
- Michael_selection_theorem type Message106598915.
- Michael_selection_theorem type Possession100032613.
- Michael_selection_theorem type PropertiesOfTopologicalSpaces.
- Michael_selection_theorem type Property113244109.
- Michael_selection_theorem type Proposition106750804.
- Michael_selection_theorem type Relation100031921.
- Michael_selection_theorem type Statement106722453.
- Michael_selection_theorem type Theorem106752293.
- Michael_selection_theorem type TheoremsInFunctionalAnalysis.
- 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 semicontinuous 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 label "Théorème de sélection de Michael".
- 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 sameAs Michael_selection_theorem.
- Michael_selection_theorem wasDerivedFrom Michael_selection_theorem?oldid=570780905.
- Michael_selection_theorem isPrimaryTopicOf Michael_selection_theorem.