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《CTM 164 The Covering Property Axiom_ Cpa (Cambridge Tracts In Mathematics) (Krzysztof Ciesielski_ Janusz Pawlikowski) 0521839203》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。
1、ThispageintentionallyleftblankP1:JZP0521839203agg.xmlCY502/Ciesielski0521839203May13,200416:19Theauthorsformulateandexploreanewaxiomofsettheory,CPA,theCoveringPropertyAxiom.CPAisconsistentwiththeusualZFCaxioms;indeed,itistrueintheiteratedSacksmodelandactually
2、capturesthecombinatorialcoreofthismodel.AplethoraofresultsknowntobetrueintheSacksmodeleasilyfollowfromCPA.ReplacingiteratedforcingargumentswithdeductionsfromCPAsimplifiesproofs,providesdeeperinsight,andleadstonewresults.OnemaysaythatCPAissimilarinnaturetoMarti
3、n’saxiom,asbothcapturetheessenceofthemodelsofZFCinwhichtheyhold.Theexpositionisself-contained,andtherearenaturalapplicationstorealanalysisandtopology.Researcherswhousesettheoryintheirworkwillfindmuchofinterestinthisbook.KrzysztofCiesielskiisProfessorofMathemat
4、icsatWestVirginiaUni-versity.JanuszPawlikowksiisProfessorofMathematicsatWroc/lawUniversity.iP1:JZP0521839203agg.xmlCY502/Ciesielski0521839203May13,200416:19iiP1:JZP0521839203agg.xmlCY502/Ciesielski0521839203May13,200416:19CAMBRIDGETRACTSINMATHEMATICSGeneralEd
5、itorsB.BOLLOBAS,W.FULTON,A.KATOK,F.KIRWAN,´P.SARNAK,B.SIMON164TheCoveringPropertyAxiom,CPA:ACombinatorialCoreoftheIteratedPerfectSetModeliiiP1:JZP0521839203agg.xmlCY502/Ciesielski0521839203May13,200416:19ivP1:JZP0521839203agg.xmlCY502/Ciesielski0521839203May1
6、3,200416:19KrzysztofCiesielskiJanuszPawlikowskiWestVirginiaUniversityWroclawUniversity/TheCoveringPropertyAxiom,CPAACombinatorialCoreoftheIteratedPerfectSetModelvcambridgeuniversitypressCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUn
7、iversityPressTheEdinburghBuilding,Cambridgecb22ru,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521839204©KrzysztofCiesielskiandJanuszPawlikowski2004Thispublicationisincopy
8、right.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpub
