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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
| Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (200 pages) |
| Disciplina | 512/.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Associative rings
Abelian groups Functor theory |
| Soggetto non controllato |
Abelian group
Absolute value Addition Algebraic K-theory Algebraic equation Algebraic integer Banach algebra Basis (linear algebra) Big O notation Circle group Coefficient Commutative property Commutative ring Commutator Complex number Computation Congruence subgroup Coprime integers Cyclic group Dedekind domain Direct limit Direct proof Direct sum Discrete valuation Division algebra Division ring Elementary matrix Elliptic function Exact sequence Existential quantification Exterior algebra Factorization Finite group Free abelian group Function (mathematics) Fundamental group Galois extension Galois group General linear group Group extension Hausdorff space Homological algebra Homomorphism Homotopy Ideal (ring theory) Ideal class group Identity element Identity matrix Integral domain Invertible matrix Isomorphism class K-theory Kummer theory Lattice (group) Left inverse Local field Local ring Mathematics Matsumoto's theorem Maximal ideal Meromorphic function Monomial Natural number Noetherian Normal subgroup Number theory Open set Picard group Polynomial Prime element Prime ideal Projective module Quadratic form Quaternion Quotient ring Rational number Real number Right inverse Ring of integers Root of unity Schur multiplier Scientific notation Simple algebra Special case Special linear group Subgroup Summation Surjective function Tensor product Theorem Topological K-theory Topological group Topological space Topology Torsion group Variable (mathematics) Vector space Wedderburn's theorem Weierstrass function Whitehead torsion |
| ISBN | 1-4008-8179-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index |
| Record Nr. | UNINA-9910154752203321 |
Milnor John
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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 | ||
| ||
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 | ||
| ||