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1、TheHauptvermutungBookAcollectionofpapersonthetopologyofmanifoldsbyA.A.Ranicki(editor),A.J.Casson,D.P.Sullivan,M.A.Armstrong,C.P.Rourke,andG.E.CookeThisisanelectronicreprintofTheHauptvermutungBook,K-MonographsinMathematics1,Kluwer(1996),withsomeadditionalcommentsandreferences.M.A.ArmstrongMat
2、hematicsDepartment,UniversityofDurham,DurhamDH13LE,England,UKA.J.CassonMathematicsDepartment,UniversityofCalifornia,Berkeley,CA94720,USAG.E.CookeyA.A.RanickiDepartmentofMathematicsandStatistics,TheUniversityofEdinburgh,EdinburghEH93JZ,Scotland,UKC.P.RourkeMathematicsInstitute,UniversityofWar
3、wick,CoventryCV47AL,England,UKD.P.SullivanMathematicsDepartment,CityUniversityofNewYork,GraduateCenter,33West42Street,NewYork,NY10036,USAContentsPreface........................1OntheHauptvermutung(byA.A.Ranicki,1996)1.Introduction........................32.ThePolyhedralHauptvermutung........
4、.......63.TheRochlinInvariant....................114.TheManifoldHauptvermutung................135.HomologyManifolds.....................23References...........................29GeneralisationsandApplicationsofBlockBundles(byA.J.Casson,1967)Introduction..........................33I.BlockBundl
5、es........................35II.HomotopyPropertiesofBlockBundles.............43III.TangentialPropertiesofBlockBundles............49IV.PeriodicityofG=PL....................55V.TopologicallyTrivialBlockBundles..............59References...........................67TriangulatingHomotopyEquivalenc
6、esandHomeomorphisms.GeometricTopologySeminarNotes(byD.P.Sullivan,1967)Introduction..........................69I.TriangulatingandSmoothingHomotopyEquivalences.......69II.TheCharacteristicBundleofaHomotopyEquivalence......80III.TheHauptvermutung....................93References.................
7、.........103ThePrincetonNotesontheHauptvermutung(byM.A.Armstrong,C.P.Rourke,G.E.Cooke)Preface(1996)........................105I.TheHauptvermutungAccordingtoLashofandRothenberg(byM.A.Armstrong,1968)1.Introduction.......................1072.Splitting
