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 | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy |
Autore | Thurston William P. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
Descrizione fisica | 1 online resource (312 pages) : illustrations |
Disciplina | 516/.07 |
Collana | Princeton Mathematical Series |
Soggetto topico |
Geometry, Hyperbolic
Three-manifolds (Topology) |
Soggetto non controllato |
3-sphere
Abelian group Affine space Affine transformation Atlas (topology) Automorphism Basis (linear algebra) Bounded set (topological vector space) Brouwer fixed-point theorem Cartesian coordinate system Characterization (mathematics) Compactification (mathematics) Conformal map Contact geometry Curvature Cut locus (Riemannian manifold) Diagram (category theory) Diffeomorphism Differentiable manifold Dimension (vector space) Dimension Disk (mathematics) Divisor (algebraic geometry) Dodecahedron Eigenvalues and eigenvectors Embedding Euclidean space Euler number Exterior (topology) Facet (geometry) Fiber bundle Foliation Fundamental group Gaussian curvature Geometry Group homomorphism Half-space (geometry) Holonomy Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperboloid model Interior (topology) Intersection (set theory) Isometry group Isometry Jordan curve theorem Lefschetz fixed-point theorem Lie algebra Lie group Line (geometry) Linear map Linearization Manifold Mathematical induction Metric space Moduli space Möbius transformation Norm (mathematics) Pair of pants (mathematics) Piecewise linear manifold Piecewise linear Poincaré disk model Polyhedron Projection (linear algebra) Projection (mathematics) Pseudogroup Pullback (category theory) Quasi-isometry Quotient space (topology) Riemann mapping theorem Riemann surface Riemannian manifold Sheaf (mathematics) Sign (mathematics) Simplicial complex Simply connected space Special linear group Stokes' theorem Subgroup Subset Tangent space Tangent vector Tetrahedron Theorem Three-dimensional space (mathematics) Topological group Topological manifold Topological space Topology Transversal (geometry) Two-dimensional space Uniformization theorem Unit sphere Variable (mathematics) Vector bundle Vector field |
ISBN | 1-4008-6532-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Reader's Advisory -- 1 What Is a Manifold? -- 2 Hyperbolic Geometry and Its Friends -- 3 Geometric Manifolds -- 4 The Structure of Discrete Groups -- Glossary -- Bibliography -- Index |
Record Nr. | UNINA-9910163942403321 |
Thurston William P. | ||
Princeton, NJ : , : Princeton University Press, , [2014] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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