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...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2009] ©2002 |
Year of Publication: | 2009 |
Edition: | Course Book |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (184 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
LEADER | 04247nam a22007095i 4500 | ||
---|---|---|---|
001 | 9781400825127 | ||
003 | DE-B1597 | ||
005 | 20210830012106.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr || |||||||| | ||
008 | 210830t20092002nju fo d z eng d | ||
020 | |a 9781400825127 | ||
024 | 7 | |a 10.1515/9781400825127 |2 doi | |
035 | |a (DE-B1597)446344 | ||
035 | |a (OCoLC)979629085 | ||
040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
041 | 0 | |a eng | |
044 | |a nju |c US-NJ | ||
050 | 4 | |a QA611 |b .J39 2002 | |
072 | 7 | |a MAT038000 |2 bisacsh | |
082 | 0 | 4 | |a 511.3/22 |2 21 |
084 | |a SK 150 |2 rvk |0 (DE-625)rvk/143218: | ||
100 | 1 | |a Jayne, John E., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Selectors / |c C. Ambrose Rogers, John E. Jayne. |
250 | |a Course Book | ||
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2009] | |
264 | 4 | |c ©2002 | |
300 | |a 1 online resource (184 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Introduction -- |t Chapter 1. Classical results -- |t 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 -- |t Chapter 3. Selectors for upper semi-continuous functions with non-empty compact values -- |t Chapter 4. Selectors for compact sets -- |t Chapter 5. Applications -- |t Chapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary -- |t Chapter 7. Further applications -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
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 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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
650 | 0 | |a Selection theorems. | |
650 | 7 | |a MATHEMATICS / Topology. |2 bisacsh | |
700 | 1 | |a Rogers, C. Ambrose, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
776 | 0 | |c print |z 9780691096285 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9781400825127 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400825127 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9781400825127.jpg |
912 | |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013 |c 2000 |d 2013 | ||
912 | |a EBA_BACKALL | ||
912 | |a EBA_CL_MTPY | ||
912 | |a EBA_EBACKALL | ||
912 | |a EBA_EBKALL | ||
912 | |a EBA_ECL_MTPY | ||
912 | |a EBA_EEBKALL | ||
912 | |a EBA_ESTMALL | ||
912 | |a EBA_PPALL | ||
912 | |a EBA_STMALL | ||
912 | |a GBV-deGruyter-alles | ||
912 | |a PDA12STME | ||
912 | |a PDA13ENGE | ||
912 | |a PDA18STMEE | ||
912 | |a PDA5EBK |