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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
| Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
| Autore | Madsen Ib |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 514/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Classifying spaces Surgery (Topology) Cobordism theory |
| Soggetto non controllato |
Bijection
Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order |
| ISBN | 1-4008-8147-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749003321 |
Madsen Ib
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
| Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (357 pages) : illustrations |
| Disciplina | 514 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topology |
| Soggetto non controllato |
Adjunction (field theory)
Algebraic cycle Algebraic topology Analytic function Automorphism Base change Basis (linear algebra) Borel conjecture Characteristic class Circle group Classifying space Cobordism Codimension Cohomology ring Cohomology Combinatorial group theory Commutative diagram Commutative property Compactification (mathematics) Coxeter group Cyclic group Cyclic homology Diagram (category theory) Diffeomorphism Differentiable manifold Differential topology Dimension (vector space) Dirac operator Discrete valuation ring Divisor (algebraic geometry) Elliptic operator Equivariant K-theory Equivariant cohomology Equivariant map Exterior (topology) Exterior algebra Fiber bundle Fibration Fundamental group Gauss map Geometrization conjecture Group algebra H-cobordism Homeomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Identity matrix Inclusion map Intersection form (4-manifold) Isomorphism class J-homomorphism Knot theory L-theory Lens space Lie algebra Lie group Linear algebra Mapping cone (homological algebra) Mapping cone (topology) Marriage theorem Metric space Moduli space Motivic cohomology Neighbourhood (mathematics) Operator norm Pushout (category theory) Quasi-isometry Quotient space (topology) Real projective space Regularization (mathematics) Representation theory Riemann surface Riemannian manifold Set (mathematics) Sheaf (mathematics) Sign (mathematics) Simplicial complex Stable homotopy theory Subgroup Submanifold Submersion (mathematics) Subset Support (mathematics) Sylow theorems Tangent space Theorem Topological K-theory Topological group Topological manifold Topological space Topology Torsion sheaf Transversality (mathematics) Unification (computer science) Vector bundle Whitehead torsion Zariski topology Zorn's lemma |
| ISBN | 1-4008-8258-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Program of the Conference -- Mathematical descendants of William Browder -- The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen-Macaulay / Adem, Alejandro / Milgram, R. James -- Algebraic Geometric Invariants for Homotopy Actions / Assadi, Amir H. -- Algebraic K-Theory of Local Number Fields: The Unramified Case / Bokstedt, M. / Madsen, I. -- The Mapping Cone and Cylinder of a Stratified Map / Cappell, Sylvain E. / Shaneson, Julius L. -- Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds / Cappell, Sylvain / Weinberger, Shmuel -- Finite K (π, 1)s for Artin Groups / Charney, Ruth / Davis, Michael W. -- Double Point Manifolds of Immersions of Spheres in Euclidean Space / Eccles, Peter J. -- Controlled Linear Algebra / Freedman, Michael H. / Wang, Zhenghan -- Non-Linear Similarity Revisited / Hambleton, Ian / Pedersen, Erik K. -- On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces / Hausmann, Jean-Claude -- Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert's Fifth Problem / Illman, Sören -- Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks / Katz, Gabriel -- Stable Prime Decompositions of Four-Manifolds / Kreck, Matthias / Luck, Wolfgang / Teichner, Peter -- Smooth Correspondences / Morava, Jack -- Simply Connected 6-Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space / Puppe, Volker -- Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse / Quinn, Frank -- Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View -- Exterior d, the Local Degree, and Smoothability / Sullivan, Dennis -- Contributors |
| Record Nr. | UNINA-9910154749503321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910786749403321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910811911303321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||