LEADER 03569nam 2200637 a 450 001 9910779907403321 005 20211001233012.0 010 $a1-282-15893-7 010 $a9786612158933 010 $a1-4008-2512-1 010 $a1-4008-1440-5 024 7 $a10.1515/9781400825127 035 $a(CKB)111056486507914 035 $a(EBL)457732 035 $a(OCoLC)609845340 035 $a(SSID)ssj0000243667 035 $a(PQKBManifestationID)11217550 035 $a(PQKBTitleCode)TC0000243667 035 $a(PQKBWorkID)10160246 035 $a(PQKB)11568364 035 $a(DE-B1597)446344 035 $a(OCoLC)979629085 035 $a(DE-B1597)9781400825127 035 $a(Au-PeEL)EBL457732 035 $a(CaPaEBR)ebr10312640 035 $a(CaONFJC)MIL215893 035 $a(MiAaPQ)EBC457732 035 $a(EXLCZ)99111056486507914 100 $a20020611d2002 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aSelectors$b[electronic resource] /$fJohn E. Jayne and C. Ambrose Rogers 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc2002 215 $a1 online resource (181 p.) 300 $aDescription based upon print version of record. 311 0 $a0-691-09628-7 320 $aIncludes bibliographical references (p. [161]-163) and index. 327 $tFront matter --$tContents --$tPreface --$tIntroduction --$tChapter 1. Classical results --$tChapter 2. Functions that are constant on the sets of a Functions that are constant on the sets of a disjoint discretely ?-decomposable family of F?-sets --$tChapter 3. Selectors for upper semi-continuous functions with non-empty compact values --$tChapter 4. Selectors for compact sets --$tChapter 5. Applications --$tChapter 6. Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary --$tChapter 7. Further applications --$tBibliography --$tIndex 330 $aThough 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. 606 $aSelection theorems 615 0$aSelection theorems. 676 $a511.3/22 686 $aSK 150$2rvk 700 $aJayne$b John E$g(John Eben),$f1943-$01518807 701 $aRogers$b C. A$g(Claude Ambrose),$f1920-$01518808 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910779907403321 996 $aSelectors$93756573 997 $aUNINA