Selectors / / C. Ambrose Rogers, John E. Jayne.
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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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2009] ©2002 |
Year of Publication: | 2009 |
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Jayne, John E., author. aut http://id.loc.gov/vocabulary/relators/aut Selectors / C. Ambrose Rogers, John E. Jayne. Course Book Princeton, NJ : Princeton University Press, [2009] ©2002 1 online resource (184 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. Classical results -- Chapter 2. Functions that are constant on the sets of a Functions that are constant on the sets of a disjoint discretely σ-decomposable family of Fσ-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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Selection theorems. MATHEMATICS / Topology. bisacsh Rogers, C. Ambrose, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691096285 https://doi.org/10.1515/9781400825127 https://www.degruyter.com/isbn/9781400825127 Cover https://www.degruyter.com/cover/covers/9781400825127.jpg |
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English |
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author |
Jayne, John E., Jayne, John E., Rogers, C. Ambrose, |
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Jayne, John E., Jayne, John E., Rogers, C. Ambrose, Selectors / Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. Classical results -- Chapter 2. Functions that are constant on the sets of a Functions that are constant on the sets of a disjoint discretely σ-decomposable family of Fσ-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 |
author_facet |
Jayne, John E., Jayne, John E., Rogers, C. Ambrose, Rogers, C. Ambrose, Rogers, C. Ambrose, |
author_variant |
j e j je jej j e j je jej c a r ca car |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Rogers, C. Ambrose, Rogers, C. Ambrose, |
author2_variant |
c a r ca car |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Jayne, John E., |
title |
Selectors / |
title_full |
Selectors / C. Ambrose Rogers, John E. Jayne. |
title_fullStr |
Selectors / C. Ambrose Rogers, John E. Jayne. |
title_full_unstemmed |
Selectors / C. Ambrose Rogers, John E. Jayne. |
title_auth |
Selectors / |
title_alt |
Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. Classical results -- Chapter 2. Functions that are constant on the sets of a Functions that are constant on the sets of a disjoint discretely σ-decomposable family of Fσ-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 |
title_new |
Selectors / |
title_sort |
selectors / |
publisher |
Princeton University Press, |
publishDate |
2009 |
physical |
1 online resource (184 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. Classical results -- Chapter 2. Functions that are constant on the sets of a Functions that are constant on the sets of a disjoint discretely σ-decomposable family of Fσ-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 |
isbn |
9781400825127 9783110442502 9780691096285 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA611 |
callnumber-sort |
QA 3611 J39 42002 |
url |
https://doi.org/10.1515/9781400825127 https://www.degruyter.com/isbn/9781400825127 https://www.degruyter.com/cover/covers/9781400825127.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
511 - General principles of mathematics |
dewey-full |
511.3/22 |
dewey-sort |
3511.3 222 |
dewey-raw |
511.3/22 |
dewey-search |
511.3/22 |
doi_str_mv |
10.1515/9781400825127 |
oclc_num |
979629085 |
work_keys_str_mv |
AT jaynejohne selectors AT rogerscambrose selectors |
status_str |
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ids_txt_mv |
(DE-B1597)446344 (OCoLC)979629085 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Selectors / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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