LEADER 04859nam 2200649 450 001 9910480533403321 005 20170822144447.0 010 $a1-4704-0413-3 035 $a(CKB)3360000000464996 035 $a(EBL)3114213 035 $a(SSID)ssj0000973217 035 $a(PQKBManifestationID)11616151 035 $a(PQKBTitleCode)TC0000973217 035 $a(PQKBWorkID)10959860 035 $a(PQKB)10527399 035 $a(MiAaPQ)EBC3114213 035 $a(PPN)195416996 035 $a(EXLCZ)993360000000464996 100 $a20150417h20042004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHomotopy equivalences of 3-manifolds and deformation theory of Kleinian groups /$fRichard D. Canary, Darryl McCullough 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004. 210 4$dİ2004 215 $a1 online resource (238 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 172, Number 812 300 $a"Volume 172, Number 812 (first of 4 numbers)." 311 $a0-8218-3549-1 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Motivation""; ""1.2. The main theorems for Haken 3-manifolds""; ""1.3. The main theorems for reducible 3-manifolds""; ""1.4. Examples""; ""Chapter 2. Johannson's Characteristic Submanifold Theory""; ""2.1. Fibered 3-manifolds""; ""2.2. Boundary patterns""; ""2.3. Admissible maps and mapping class groups""; ""2.4. Essential maps and useful boundary patterns""; ""2.5. The classical theorems""; ""2.6. Exceptional fibered 3-manifolds""; ""2.7. Vertical and horizontal surfaces and maps""; ""2.8. Fiber-preserving maps"" 327 $a""2.9. The characteristic submanifold""""2.10. Examples of characteristic submanifolds""; ""2.11. The Classification Theorem""; ""2.12. Miscellaneous topological results""; ""Chapter 3. Relative Compression Bodies and Cores""; ""3.1. Relative compression bodies""; ""3.2. Minimally imbedded relative compression bodies""; ""3.3. The maximal incompressible core""; ""3.4. Normally imbedded relative compression bodies""; ""3.5. The normal core and the useful core""; ""Chapter 4. Homotopy Types""; ""4.1. Homotopy equivalences preserve usefulness""; ""4.2. Finiteness of homotopy types"" 327 $a""Chapter 5. Pared 3-Manifolds""""5.1. Definitions and basic properties""; ""5.2. The topology of pared manifolds""; ""5.3. The characteristic submanifold of a pared manifold""; ""Chapter 6. Small 3-Manifolds""; ""6.1. Small manifolds and small pared manifolds""; ""6.2. Small pared homotopy types""; ""Chapter 7. Geometrically Finite Hyperbolic 3-Manifolds""; ""7.1. Basic definitions""; ""7.2. Quasiconformal deformation theory: a review""; ""7.3. The Parameterization Theorem""; ""Chapter 8. Statements of Main Theorems""; ""8.1. Statements of Main Topological Theorems"" 327 $a""8.2. Statements of Main Hyperbolic Theorem and Corollary""""8.3. Derivation of hyperbolic results""; ""Chapter 9. The Case When There Is a Compressible Free Side""; ""9.1. Algebraic lemmas""; ""9.2. The finite-index cases""; ""9.3. The infinite-index cases""; ""Chapter 10. The Case When the Boundary Pattern Is Useful""; ""10.1. The homomorphism I??""; ""10.2. Realizing homotopy equivalences of I-bundles""; ""10.3. Realizing homotopy equivalences of Seifert-fibered manifolds""; ""10.4. Proof of Main Topological Theorem 2""; ""Chapter 11. Dehn Flips"" 327 $a""Chapter 12. Finite Index Realization For Reducible 3-Manifolds""""12.1. Homeomorphisms of connected sums""; ""12.2. Reducible 3-manifolds with compressible boundary""; ""12.3. Reducible 3-manifolds with incompressible boundary""; ""Chapter 13. Epilogue""; ""13.1. More topology""; ""13.2. More geometry""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 172, Number 812. 606 $aThree-manifolds (Topology) 606 $aHomotopy equivalences 606 $aLow-dimensional topology 606 $aKleinian groups 608 $aElectronic books. 615 0$aThree-manifolds (Topology) 615 0$aHomotopy equivalences. 615 0$aLow-dimensional topology. 615 0$aKleinian groups. 676 $a514/.3 700 $aCanary$b Richard Douglas$0311099 702 $aMcCullough$b Darryl$f1951- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480533403321 996 $aHomotopy equivalences of 3-manifolds and deformation theory of Kleinian groups$92295036 997 $aUNINA