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1、SpringerMonographsinMathematicsThomasJechSetTheoryTheThirdMillenniumEdition,revisedandexpanded123ThomasJeche-mail:jech@math.cas.czTheoriginaleditionwaspublishedin1978byAcademicPress,Inc.intheseriesPureandAppliedMathematics,vol.79,withtheISBN0-12-381950-4Thesecondeditionwaspublishe
2、din1997bySpringer-VerlagunderthesametitleintheseriesPerspectivesinMathematicalLogicCatalog-in-PublicationDataappliedforDieDeutscheBibliothek-CIP-EinheitsaufnahmeJech,ThomasJ.:Settheory/ThomasJech.-3rdMillenniumed,rev.andexpanded.-Berlin;Heidelberg;NewYork;HongKong;London;Milan;Par
3、is;Tokyo:Springer,2002(Springermonographsinmathematics)ISBN3-540-44085-2MathematicsSubjectClassification(2000):03ExxISSN1439-7382Corrected4thprinting2006ISBN-103-540-44085-2Springer-VerlagBerlinHeidelbergNewYorkISBN-13978-3-540-44085-7Springer-VerlagBerlinHeidelbergNewYorkISBN3-54
4、0-63048-12nded.Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,an
5、dstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.Springerisapa
6、rtofSpringerScience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelberg1997,2003PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivela
7、wsandregulationsandthereforefreeforgeneraluse.TypesettingbytheauthorusingaSpringerTEXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:ErichKirchner,HeidelbergPrintedonacid-freepaper46/3100YL-543210ForPaula,Pavel,andSusannaPrefaceWhenIwrotethefirsteditionin
8、the1970smygoalwastopresentthestat