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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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy
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
Opac: Controlla la disponibilità qui