Springer.Grayson.Friedlander.(Ed).Handbook.Of.K.Theory.Vol.1.(Springer.2005)

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1、EricM.FriedlanderDanielR.GraysonEditorsHandbookofK-TheoryVolume1123EditorsEricM.FriedlanderDepartmentofMathematicsNorthwesternUniversityEvanston,Illinois60208USAe-mail:eric@math.northwestern.eduDanielR.GraysonDepartmentofMathematicsUniversityofIllinoisatUrbana-ChampaignUrbana,Illinois61801USAe-mail

2、:dan@math.uiuc.eduLibraryofCongressControlNumber:2005925753ISBN-103-540-23019-XSpringerBerlinHeidelbergNewYorkISBN-13978-3-540-23019-9SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,rep

3、rinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpring

4、er.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg2005PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecific

5、statement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.TypesettingandProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:deblik,BerlinPrintedonacid-freepaper41/3142/YL543210PrefaceThisvolumeisacollectionofchaptersreflectingthestatusofmucho

6、fthecur-rentresearchinK-theory.Aseditors,ourgoalhasbeentoprovideanentryandanoverviewtoK-theoryinmanyofitsguises.Thus,eachchapterprovidesitsauthoranopportunitytosummarize,reflectupon,andsimplifyagiventopicwhichhastypicallybeenpresentedonlyinresearcharticles.Wehavegroupedthesechaptersintofiveparts,andw

7、ithineachpartthechaptersarearrangedalphabetically.Informally,K-theoryisatoolforprobingthestructureofamathematicalobjectsuchasaringoratopologicalspaceintermsofsuitablyparameterizedvectorspaces.Thus,insomesen