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Selectors

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Title: Selectors
Description: Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of what is known and proven about selectors--and what remains to be found. The authors focus on selection theorems that are related to the axiom of choice, particularly selectors of small Borel or Baire classes. After examining some of the relevant work of Michael and Kuratowski & Ryll-Nardzewski and presenting background material, the text constructs selectors obtained as limits of functions that are constant on the sets of certain partitions of metric spaces. These include selection theorems for maximal monotone maps, for the subdifferential of a continuous convex function, and for some geometrically defined maps, namely attainment and nearest-point maps. Assuming only a basic background in analysis and topology, this book is ideal for graduate students and researchers who wish to expand their general knowledge of selectors, as well as for those who seek the latest results.
Authors: John E. Jayne, C. Ambrose Rogers
Resource Type: eBook.
Subjects: Selection theorems
Categories: MATHEMATICS / Topology, MATHEMATICS / Numerical Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 81047
RelevancyScore: 979
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 978.796813964844
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  Data: Selectors
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  Data: Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of what is known and proven about selectors--and what remains to be found. The authors focus on selection theorems that are related to the axiom of choice, particularly selectors of small Borel or Baire classes. After examining some of the relevant work of Michael and Kuratowski & Ryll-Nardzewski and presenting background material, the text constructs selectors obtained as limits of functions that are constant on the sets of certain partitions of metric spaces. These include selection theorems for maximal monotone maps, for the subdifferential of a continuous convex function, and for some geometrically defined maps, namely attainment and nearest-point maps. Assuming only a basic background in analysis and topology, this book is ideal for graduate students and researchers who wish to expand their general knowledge of selectors, as well as for those who seek the latest results.
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  Data: <searchLink fieldCode="AR" term="%22John+E%2E+Jayne%22">John E. Jayne</searchLink><br /><searchLink fieldCode="AR" term="%22C%2E+Ambrose+Rogers%22">C. Ambrose Rogers</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 511.322
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Selection theorems
        Type: general
    Titles:
      – TitleFull: Selectors
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: John E. Jayne
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          Name:
            NameFull: C. Ambrose Rogers
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            NameFull: John E. Jayne
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          Name:
            NameFull: C. Ambrose Rogers
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2002
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780691096285
            – Type: isbn-electronic
              Value: 9781400825127
          Titles:
            – TitleFull: Selectors
              Type: main
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