Selectors:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
2002
|
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext Volltext |
| Beschreibung: | Main 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 |
| Beschreibung: | 1 Online-Ressource (184 S.) |
| ISBN: | 9781400825127 |
| DOI: | 10.1515/9781400825127 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:00Z |
| institution | BVB |
| isbn | 9781400825127 |
| language | English |
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| physical | 1 Online-Ressource (184 S.) |
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| spelling | Rogers, C. Ambrose Verfasser aut Selectors Princeton, N.J. Princeton University Press 2002 1 Online-Ressource (184 S.) txt rdacontent c rdamedia cr rdacarrier Main 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 Selektor (DE-588)4660089-9 gnd rswk-swf Selektor (DE-588)4660089-9 s 1\p DE-604 Jayne, John E. Sonstige oth https://doi.org/10.1515/9781400825127 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400825127&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rogers, C. Ambrose Selectors Selektor (DE-588)4660089-9 gnd |
| subject_GND | (DE-588)4660089-9 |
| title | Selectors |
| title_auth | Selectors |
| title_exact_search | Selectors |
| title_full | Selectors |
| title_fullStr | Selectors |
| title_full_unstemmed | Selectors |
| title_short | Selectors |
| title_sort | selectors |
| topic | Selektor (DE-588)4660089-9 gnd |
| topic_facet | Selektor |
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