Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
| Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (339 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Characteristic classes |
| Soggetto non controllato |
Additive group
Axiom Basis (linear algebra) Boundary (topology) Bundle map CW complex Canonical map Cap product Cartesian product Characteristic class Charles Ehresmann Chern class Classifying space Coefficient Cohomology ring Cohomology Compact space Complex dimension Complex manifold Complex vector bundle Complexification Computation Conformal geometry Continuous function Coordinate space Cross product De Rham cohomology Diffeomorphism Differentiable manifold Differential form Differential operator Dimension (vector space) Dimension Direct sum Directional derivative Eilenberg–Steenrod axioms Embedding Equivalence class Euler class Euler number Existence theorem Existential quantification Exterior (topology) Fiber bundle Fundamental class Fundamental group General linear group Grassmannian Gysin sequence Hausdorff space Homeomorphism Homology (mathematics) Homotopy Identity element Integer Interior (topology) Isomorphism class J-homomorphism K-theory Leibniz integral rule Levi-Civita connection Limit of a sequence Linear map Metric space Natural number Natural topology Neighbourhood (mathematics) Normal bundle Open set Orthogonal complement Orthogonal group Orthonormal basis Partition of unity Permutation Polynomial Power series Principal ideal domain Projection (mathematics) Representation ring Riemannian manifold Sequence Singular homology Smoothness Special case Steenrod algebra Stiefel–Whitney class Subgroup Subset Symmetric function Tangent bundle Tensor product Theorem Thom space Topological space Topology Unit disk Unit vector Variable (mathematics) Vector bundle Vector space |
| ISBN | 1-4008-8182-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index |
| Record Nr. | UNINA-9910154754803321 |
Milnor John
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
| Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (137 pages) : illustrations |
| Disciplina | 516.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Geometry, Algebraic |
| Soggetto non controllato |
3-sphere
Addition Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Analytic manifold Apply Approximation Binary icosahedral group Boundary (topology) Characteristic polynomial Codimension Coefficient Commutator subgroup Commutator Compact group Complex analysis Complex number Complex projective plane Conjecture Contradiction Coordinate space Coordinate system Derivative Differentiable manifold Dimension Directional derivative Euclidean space Euler number Exact sequence Existential quantification Exotic sphere Fiber bundle Fibration Field of fractions Finite group Finite set Finitely generated group Formal power series Free abelian group Free group Fundamental group Geometry Hermitian matrix Hessian matrix Homology (mathematics) Homology sphere Homotopy sphere Homotopy Hopf fibration Hypersurface Icosahedron Implicit function theorem Integer Integral domain Inverse function theorem Knot group Knot theory Line segment Linear combination Linear map Manifold Minor (linear algebra) Morse theory N-sphere Neighbourhood (mathematics) Normal (geometry) Normal subgroup Open set Orientability Parametrization Polynomial Prime ideal Principal ideal Projective space Real number Regular icosahedron Retract Riemannian manifold Second derivative Sign (mathematics) Simply connected space Smoothness Special case Submanifold Subset Surjective function Tangent space Theorem Topological manifold Topology Transcendence degree Tubular neighborhood Unit interval Unit sphere Unit vector Variable (mathematics) Vector field Vector space |
| ISBN | 1-4008-8181-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154743603321 |
|
Milnor John
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
| Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann |
| Autore | Eisenbud David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (184 pages) : illustration |
| Disciplina | 514.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Link theory
Invariants Curves, Plane Singularities (Mathematics) |
| Soggetto non controllato |
3-sphere
Alexander Grothendieck Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Algebraic surface Algorithm Ambient space Analytic function Approximation Big O notation Call graph Cartesian coordinate system Characteristic polynomial Closed-form expression Cohomology Computation Conjecture Connected sum Contradiction Coprime integers Corollary Curve Cyclic group Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Eigenvalues and eigenvectors Equation Equivalence class Euler number Existential quantification Exterior (topology) Fiber bundle Fibration Foliation Fundamental group Geometry Graph (discrete mathematics) Ground field Homeomorphism Homology sphere Identity matrix Integer matrix Intersection form (4-manifold) Isolated point Isolated singularity Jordan normal form Knot theory Mathematical induction Monodromy matrix Monodromy N-sphere Natural transformation Newton polygon Newton's method Normal (geometry) Notation Pairwise Parametrization Plane curve Polynomial Power series Projective plane Puiseux series Quantity Rational function Resolution of singularities Riemann sphere Riemann surface Root of unity Scientific notation Seifert surface Set (mathematics) Sign (mathematics) Solid torus Special case Stereographic projection Submanifold Summation Theorem Three-dimensional space (mathematics) Topology Torus knot Torus Tubular neighborhood Unit circle Unit vector Unknot Variable (mathematics) |
| ISBN | 1-4008-8192-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter |
| Record Nr. | UNINA-9910154742903321 |
|
Eisenbud David
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||