Munkres, James R. - 2000 - Topology 2ed

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1、TopologySecondEditionJamesR.MunkresMassachusettsInstituteofTechnologyPrenticeHall,UpperSaddleRivel;NJ07458LibratyofCongressCataloging-in-PublicationDataMunkres,JamesR.Tooolo~rlJames.--RaymondMUnkres.--2nded.p.cm.Includesbibllographicalreferencesandindex.ISBN0-13-181629-21.Topology.I.Tit

2、le.qA6ll.ME22000514--dc2199-052942CIPAcquisitionsEditor:GeorgeLobe0AssistantV~cePresidentofProductionandManufactunng:DavidIRicardiExecutiveManagingEditur.KathleenSchiaparrNiSeniormanagin^Editor:LindaMihafovBehrensProductionEditor:LynnM.SavinoManufacturingBuyer:AhnFischerManufactunngMana

3、ger:TrudyPiscioniMarketingManager:MelodyMarcusMnrketingAssistant:KnceJansenDirectorofMarketing:JohnTweeddaleEditorialAssistant:GaleEppsArrDjrector:JayneConfeCoverDesigner:BruceKenselanrComposition:MacmTeXServices@2000.1975byPrenticeHall.IncUpperSaddleRiver.NJ07458ForBarbaraAllrightsrese

4、rved.Nopanofthisbookmaybereproduced,inanyformorbyanymeans,withwtpemu'ssioninwritingfromthepublisher.PnntedintheUn~tedStatesafAmerica10987ISBN0-13-181b29-2PRENT~CE-HALLINTERNATIONAL(UK)LIMITED,LONDONPRENTLCE-HALLOFAUSTRALIAPTY.LIMITED.SYDNEYPRENTICE-HALLCANADA,INC.,TORONTOPRENTLCE-HALLHI

5、SPANOAMERICANA,S.A.,MEXICOPRENTICE-HALLOFINDIAPRIVATELIMITED.NEWDELHIPRENTICE-HALLOFJAPAN.INC.,TOKYOPEARSONEDUCATIONASIAPTE.LTD.EDITORAPRENTICE-HALLUUBRASIL,LTDA..R10DCJANEIROContentsPreface.......................................xiANotetotheReader...............................xvPartIGE

6、NERALTOPOLOGYChapter1SetTheoryandLogic.......................31FundarricnlalConcepls..........................42Functions.................................153Relations.................................214TheIntegersandtheRealNumbers...................305CartesianProducts..................

7、..........366Finitesets...............................397CountableandUncountableSets....................44*8ThePrincipleofRecursiveDefinition..................529InfiniteSetsandtheAxiomofChoice..................5710Well-orderedSets............................62"11TheMaximumPrin