Selectors /:
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 wha...
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Format: | Elektronisch E-Book |
Sprache: | English |
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Princeton, N.J. :
Princeton University Press,
©2002.
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Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (xiv, 167 pages) |
Bibliographie: | Includes bibliographical references (pages 161-163) and index. |
ISBN: | 1400814405 9781400814404 9781400825127 1400825121 |
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505 | 0 | |a Contents; Preface; Introduction; Chapter 1. Classical results; Chapter 2. Functions that are constant on the sets of a disjoint discretely s-decomposable family of Fs -sets; Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values; Chapter 4. Selectors for compact sets; Chapter 5. Applications; Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary; Chapter 7. Further applications; Bibliography; Index. | |
520 | |a 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. | ||
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author | Jayne, John E. (John Eben), 1943- |
author2 | Rogers, C. A. (Claude Ambrose), 1920- |
author2_role | |
author2_variant | c a r ca car |
author_GND | http://id.loc.gov/authorities/names/no2002071052 http://id.loc.gov/authorities/names/n80102105 |
author_facet | Jayne, John E. (John Eben), 1943- Rogers, C. A. (Claude Ambrose), 1920- |
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author_sort | Jayne, John E. 1943- |
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contents | Contents; Preface; Introduction; Chapter 1. Classical results; Chapter 2. Functions that are constant on the sets of a disjoint discretely s-decomposable family of Fs -sets; Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values; Chapter 4. Selectors for compact sets; Chapter 5. Applications; Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary; Chapter 7. Further applications; Bibliography; Index. |
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dewey-search | 511.3/22 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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spelling | Jayne, John E. (John Eben), 1943- https://id.oclc.org/worldcat/entity/E39PCjMcmwXcWjfmvx4VbVmYWC http://id.loc.gov/authorities/names/no2002071052 Selectors / John E. Jayne and C. Ambrose Rogers. Princeton, N.J. : Princeton University Press, ©2002. 1 online resource (xiv, 167 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 161-163) and index. Print version record. Contents; Preface; Introduction; Chapter 1. Classical results; Chapter 2. Functions that are constant on the sets of a disjoint discretely s-decomposable family of Fs -sets; Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values; Chapter 4. Selectors for compact sets; Chapter 5. Applications; Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary; Chapter 7. Further applications; Bibliography; Index. 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. Selection theorems. http://id.loc.gov/authorities/subjects/sh98004983 MATHEMATICS Set Theory. bisacsh Selection theorems fast Rogers, C. A. (Claude Ambrose), 1920- https://id.oclc.org/worldcat/entity/E39PBJrCdJVfpfp74GJDrm4pfq http://id.loc.gov/authorities/names/n80102105 has work: Selectors (Text) https://id.oclc.org/worldcat/entity/E39PCFyVmPkfwytDWgqCxp9BCP https://id.oclc.org/worldcat/ontology/hasWork Print version: Jayne, John E. (John Eben), 1943- Selectors. Princeton, N.J. : Princeton University Press, ©2002 0691096287 (DLC) 2002108315 (OCoLC)49395372 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=81047 Volltext |
spellingShingle | Jayne, John E. (John Eben), 1943- Selectors / Contents; Preface; Introduction; Chapter 1. Classical results; Chapter 2. Functions that are constant on the sets of a disjoint discretely s-decomposable family of Fs -sets; Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values; Chapter 4. Selectors for compact sets; Chapter 5. Applications; Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary; Chapter 7. Further applications; Bibliography; Index. Selection theorems. http://id.loc.gov/authorities/subjects/sh98004983 MATHEMATICS Set Theory. bisacsh Selection theorems fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh98004983 |
title | Selectors / |
title_auth | Selectors / |
title_exact_search | Selectors / |
title_full | Selectors / John E. Jayne and C. Ambrose Rogers. |
title_fullStr | Selectors / John E. Jayne and C. Ambrose Rogers. |
title_full_unstemmed | Selectors / John E. Jayne and C. Ambrose Rogers. |
title_short | Selectors / |
title_sort | selectors |
topic | Selection theorems. http://id.loc.gov/authorities/subjects/sh98004983 MATHEMATICS Set Theory. bisacsh Selection theorems fast |
topic_facet | Selection theorems. MATHEMATICS Set Theory. Selection theorems |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=81047 |
work_keys_str_mv | AT jaynejohne selectors AT rogersca selectors |