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- Hemicontinuity abstract "In mathematics, the notion of the continuity of functions is not immediately extensible to multi-valued mappings or correspondences. The dual concepts of upper hemicontinuity and lower hemicontinuity facilitate such an extension. A correspondence that has both properties is said to be continuous in an analogy to the property of the same name for functions.Roughly speaking, a function is upper hemicontinuous when (1) a convergent sequence of points in the domain maps to a sequence of sets in the range which (2) contain another convergent sequence, then the image of limiting point in the domain must contain the limit of the sequence in the range. Lower hemicontinuity essentially reverses this, saying if a sequence in the domain converges, given a point in the range of the limit, then you can find a sub-sequence whose image contains a convergent sequence to the given point.".
- Hemicontinuity thumbnail Upper_hemicontinuous.svg?width=300.
- Hemicontinuity wikiPageID "2945778".
- Hemicontinuity wikiPageLength "6831".
- Hemicontinuity wikiPageOutDegree "23".
- Hemicontinuity wikiPageRevisionID "682429785".
- Hemicontinuity wikiPageWikiLink Andreu_Mas-Colell.
- Hemicontinuity wikiPageWikiLink Category:Continuous_mappings.
- Hemicontinuity wikiPageWikiLink Category:Mathematical_analysis.
- Hemicontinuity wikiPageWikiLink Category:Variational_analysis.
- Hemicontinuity wikiPageWikiLink Charalambos_D._Aliprantis.
- Hemicontinuity wikiPageWikiLink Choice_function.
- Hemicontinuity wikiPageWikiLink Compact_element.
- Hemicontinuity wikiPageWikiLink Continuous_function.
- Hemicontinuity wikiPageWikiLink Correspondence_(mathematics).
- Hemicontinuity wikiPageWikiLink Differential_inclusion.
- Hemicontinuity wikiPageWikiLink Function_(mathematics).
- Hemicontinuity wikiPageWikiLink Function_space.
- Hemicontinuity wikiPageWikiLink Hyperspace_(topology).
- Hemicontinuity wikiPageWikiLink Hypertopology.
- Hemicontinuity wikiPageWikiLink Jean-Pierre_Aubin.
- Hemicontinuity wikiPageWikiLink Mathematics.
- Hemicontinuity wikiPageWikiLink Michael_selection_theorem.
- Hemicontinuity wikiPageWikiLink Multi-valued_function.
- Hemicontinuity wikiPageWikiLink Multivalued_function.
- Hemicontinuity wikiPageWikiLink Power_set.
- Hemicontinuity wikiPageWikiLink Semi-continuity.
- Hemicontinuity wikiPageWikiLink Semicontinuity.
- Hemicontinuity wikiPageWikiLink Uniform_space.
- Hemicontinuity wikiPageWikiLink File:Lower_hemicontinuous.svg.
- Hemicontinuity wikiPageWikiLink File:Upper_hemicontinuous.svg.
- Hemicontinuity wikiPageWikiLinkText "Hemicontinuity".
- Hemicontinuity wikiPageWikiLinkText "Semicontinuous multivalued function".
- Hemicontinuity wikiPageWikiLinkText "continuous".
- Hemicontinuity wikiPageWikiLinkText "hemicontinuity".
- Hemicontinuity wikiPageWikiLinkText "hemicontinuous".
- Hemicontinuity wikiPageWikiLinkText "lower hemicontinuous".
- Hemicontinuity wikiPageWikiLinkText "upper and lower hemicontinuity".
- Hemicontinuity wikiPageWikiLinkText "upper hemicontinuity".
- Hemicontinuity wikiPageWikiLinkText "upper hemicontinuous".
- Hemicontinuity hasPhotoCollection Hemicontinuity.
- Hemicontinuity wikiPageUsesTemplate Template:Cite_book.
- Hemicontinuity wikiPageUsesTemplate Template:Disambiguation_needed.
- Hemicontinuity subject Category:Continuous_mappings.
- Hemicontinuity subject Category:Mathematical_analysis.
- Hemicontinuity subject Category:Variational_analysis.
- Hemicontinuity type Field.
- Hemicontinuity type Function.
- Hemicontinuity type Mapping.
- Hemicontinuity comment "In mathematics, the notion of the continuity of functions is not immediately extensible to multi-valued mappings or correspondences. The dual concepts of upper hemicontinuity and lower hemicontinuity facilitate such an extension.".
- Hemicontinuity label "Hemicontinuity".
- Hemicontinuity sameAs Hémicontinuité.
- Hemicontinuity sameAs m.08fd_f.
- Hemicontinuity sameAs Q5711478.
- Hemicontinuity sameAs Q5711478.
- Hemicontinuity wasDerivedFrom Hemicontinuity?oldid=682429785.
- Hemicontinuity depiction Upper_hemicontinuous.svg.
- Hemicontinuity isPrimaryTopicOf Hemicontinuity.