LEADER 08160nam 2201957 450 001 9910811911303321 005 20230607210523.0 010 $a0-691-08814-4 010 $a1-4008-6521-2 024 7 $a10.1515/9781400865215 035 $a(CKB)3710000000222326 035 $a(EBL)1756205 035 $a(OCoLC)888349116 035 $a(SSID)ssj0001378330 035 $a(PQKBManifestationID)11916322 035 $a(PQKBTitleCode)TC0001378330 035 $a(PQKBWorkID)11340573 035 $a(PQKB)10981124 035 $a(MiAaPQ)EBC1756205 035 $a(DE-B1597)447949 035 $a(OCoLC)1013940726 035 $a(OCoLC)1029827356 035 $a(OCoLC)1032692204 035 $a(OCoLC)1037979603 035 $a(OCoLC)1041992869 035 $a(OCoLC)1046619115 035 $a(OCoLC)1046922546 035 $a(OCoLC)1047010458 035 $a(OCoLC)979954522 035 $a(DE-B1597)9781400865215 035 $a(Au-PeEL)EBL1756205 035 $a(CaPaEBR)ebr10910145 035 $a(CaONFJC)MIL637579 035 $a(EXLCZ)993710000000222326 100 $a20140829h20012001 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aSurveys on surgery theory$hVolume 2 $epapers dedicated to C.T.C. Wall /$fedited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg 210 1$aPrinceton, New Jersey ;$aOxfordshire, England :$cPrinceton University Press,$d2001. 210 4$d©2001 215 $a1 online resource (446 p.) 225 1 $aAnnals of Mathematics Studies ;$vNumber 149 300 $aDescription based upon print version of record. 311 0 $a1-322-06328-1 311 0 $a0-691-08815-2 320 $aIncludes bibliographical references. 327 $tFront matter --$tContents --$tPreface /$rCappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan --$tSurgery theory today - what it is and where it's going /$rRosenberg, Jonathan --$tReflections on C. T. C. Wall's work on cobordism /$rRosenberg, Jonathan --$tA survey of Wall's finiteness obstruction /$rFerry, Steve / Ranicki, Andrew --$tAn introduction to algebraic surgery /$rRanicki, Andrew --$tAutomorphisms of manifolds /$rWeiss, Michael / Williams, Bruce --$tSpaces of smooth embeddings, disjunction and surgery /$rGoodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. --$tSurgery theoretic methods in group actions /$rCappell, Sylvain / Weinbergert, Shmuel --$tSurgery and stratified spaces /$rHughes, Bruce / Weinberger, Shmuel --$tMetrics of positive scalar curvature and connections with surgery /$rRosenberg, Jonathan / Stolz, Stephan --$tA survey of 4-manifolds through the eyes of surgery /$rKirby, Robion C. / Taylor, Laurence R. --$tProblems in 4-dimensional topology /$rQuinn, Frank 330 $aSurgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn. 410 0$aAnnals of mathematics studies ;$vNumber 149. 606 $aSurgery (Topology) 610 $aAlgebraic topology (object). 610 $aAlgebraic topology. 610 $aAmbient isotopy. 610 $aAssembly map. 610 $aAtiyah?Hirzebruch spectral sequence. 610 $aAtiyah?Singer index theorem. 610 $aAutomorphism. 610 $aBanach algebra. 610 $aBorsuk?Ulam theorem. 610 $aC*-algebra. 610 $aCW complex. 610 $aCalculation. 610 $aCategory of manifolds. 610 $aCharacterization (mathematics). 610 $aChern class. 610 $aCobordism. 610 $aCodimension. 610 $aCohomology. 610 $aCompactification (mathematics). 610 $aConjecture. 610 $aContact geometry. 610 $aDegeneracy (mathematics). 610 $aDiagram (category theory). 610 $aDiffeomorphism. 610 $aDifferentiable manifold. 610 $aDifferential geometry. 610 $aDirac operator. 610 $aDisk (mathematics). 610 $aDonaldson theory. 610 $aDuality (mathematics). 610 $aEmbedding. 610 $aEpimorphism. 610 $aExcision theorem. 610 $aExponential map (Riemannian geometry). 610 $aFiber bundle. 610 $aFibration. 610 $aFundamental group. 610 $aGroup action. 610 $aGroup homomorphism. 610 $aH-cobordism. 610 $aHandle decomposition. 610 $aHandlebody. 610 $aHomeomorphism group. 610 $aHomeomorphism. 610 $aHomology (mathematics). 610 $aHomomorphism. 610 $aHomotopy extension property. 610 $aHomotopy fiber. 610 $aHomotopy group. 610 $aHomotopy. 610 $aHypersurface. 610 $aIntersection form (4-manifold). 610 $aIntersection homology. 610 $aIsomorphism class. 610 $aK3 surface. 610 $aL-theory. 610 $aLimit (category theory). 610 $aManifold. 610 $aMapping cone (homological algebra). 610 $aMapping cylinder. 610 $aMostow rigidity theorem. 610 $aOrthonormal basis. 610 $aParallelizable manifold. 610 $aPoincaré conjecture. 610 $aProduct metric. 610 $aProjection (linear algebra). 610 $aPushout (category theory). 610 $aQuaternionic projective space. 610 $aQuotient space (topology). 610 $aResolution of singularities. 610 $aRicci curvature. 610 $aRiemann surface. 610 $aRiemannian geometry. 610 $aRiemannian manifold. 610 $aRing homomorphism. 610 $aScalar curvature. 610 $aSemisimple algebra. 610 $aSheaf (mathematics). 610 $aSign (mathematics). 610 $aSpecial case. 610 $aSub"ient. 610 $aSubgroup. 610 $aSubmanifold. 610 $aSupport (mathematics). 610 $aSurgery exact sequence. 610 $aSurgery obstruction. 610 $aSurgery theory. 610 $aSymplectic geometry. 610 $aSymplectic vector space. 610 $aTheorem. 610 $aTopological conjugacy. 610 $aTopological manifold. 610 $aTopology. 610 $aTransversality (mathematics). 610 $aTransversality theorem. 610 $aVector bundle. 610 $aWaldhausen category. 610 $aWhitehead torsion. 610 $aWhitney embedding theorem. 610 $aYamabe invariant. 615 0$aSurgery (Topology) 676 $a514.72 686 $aSI 830$qBSZ$2rvk 702 $aCappell$b Sylvain 702 $aRanicki$b Andrew 702 $aRosenberg$b Jonathan 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811911303321 996 $aSurveys on surgery theory$9377364 997 $aUNINA