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1、APathSpaceandtheStiefel-WhitneyClassesJohnNashProceedingsoftheNationalAcademyofSciencesoftheUnitedStatesofAmerica,Vol.41,No.5.(May15,1955),pp.320-321.StableURL:http://links.jstor.org/sici?sici=0027-8424%2819550515%2941%3A5%3C320%3AAPSATS%3E2.0.CO%3B2-DProce
2、edingsoftheNationalAcademyofSciencesoftheUnitedStatesofAmericaiscurrentlypublishedbyNationalAcademyofSciences.YouruseoftheJSTORarchiveindicatesyouracceptanceofJSTOR'sTermsandConditionsofUse,availableathttp://www.jstor.org/about/terms.html.JSTOR'sTermsandCon
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4、ofthiswork.Publishercontactinformationmaybeobtainedathttp://www.jstor.org/journals/nas.html.EachcopyofanypartofaJSTORtransmissionmustcontainthesamecopyrightnoticethatappearsonthescreenorprintedpageofsuchtransmission.TheJSTORArchiveisatrusteddigitalrepositor
5、yprovidingforlong-termpreservationandaccesstoleadingacademicjournalsandscholarlyliteraturefromaroundtheworld.TheArchiveissupportedbylibraries,scholarlysocieties,publishers,andfoundations.ItisaninitiativeofJSTOR,anot-for-profitorganizationwithamissiontohelpt
6、hescholarlycommunitytakeadvantageofadvancesintechnology.FormoreinformationregardingJSTOR,pleasecontactsupport@jstor.org.http://www.jstor.orgSatOct2008:11:432007320LWAII'HELI~ATICSJ.NASHPROC.N.A.S.TV.L.Chow,"AbelianVarietiesoverFunctionFields,"l'mns.Am.Math.
7、Soc.(toappear),theproofoftheresultquotedinthetextiscontainedinaseparatenote,entitled"OnALelianVarietiesoverFunctionFields,"whichwillsoonappearinprint.Koizumi,op.czt.,2,267.lo0.Zariski,"TheReductionoftheSingularitiesofanAlgebraicSurface,"Ann.Math.,40,639-689
8、,1939;"ASimplifiedProoffortheResolutionofSingularitiesofanAlgebraicSurface,"ibid.,43,583-593,1942;S.Abhyankar,"TheTheorernofLocalUniformizationonAlgebraicSurfacesoverModularFields,"Ann.Math.(toappear).