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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
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer
| A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer |
| Autore | Eckmann Jean Pierre |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , 1984 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems - Data processing
Mappings (Mathematics) - Data processing Error analysis (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0699-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I. ANALYSIS OF DOUBLING""; ""1. Feigenbaum universality for area�preserving maps""; ""2. Generating functions""; ""3. Further reduction of the problem""; ""4. Spectral properties""; ""5. Construction of the operator L""; ""6. Construction of the doubling operator""; ""PART II. FUNCTIONAL ANALYSIS ON THE COMPUTER""; ""1. Internal and neighborhood arithmetics""; ""2. Spectral theory""; ""3. Internal and neighborhood arithmetics on a computer""; ""List of correspondences""; ""PART III. PROOFS""; ""1. Computer program""; ""2. Program output""
""Table 1""""REFERENCES"" |
| Record Nr. | UNINA-9910479919703321 |
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Eckmann Jean Pierre
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| Providence, R.I., USA : , : American Mathematical Society, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer
| A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer |
| Autore | Eckmann Jean Pierre |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , 1984 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems - Data processing
Mappings (Mathematics) - Data processing Error analysis (Mathematics) |
| ISBN | 1-4704-0699-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | TABLE OF CONTENTS -- INTRODUCTION -- PART I. ANALYSIS OF DOUBLING -- 1. Feigenbaum universality for area-preserving maps -- 2. Generating functions -- 3. Further reduction of the problem -- 4. Spectral properties -- 5. Construction of the operator L -- 6. Construction of the doubling operator -- PART II. FUNCTIONAL ANALYSIS ON THE COMPUTER -- 1. Internal and neighborhood arithmetics -- 2. Spectral theory -- 3. Internal and neighborhood arithmetics on a computer -- List of correspondences -- PART III. PROOFS -- 1. Computer program -- 2. Program output -- Table 1REFERENCES. |
| Record Nr. | UNINA-9910788899903321 |
|
Eckmann Jean Pierre
|
||
| Providence, R.I., USA : , : American Mathematical Society, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer
| A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer |
| Autore | Eckmann Jean Pierre |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , 1984 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems - Data processing
Mappings (Mathematics) - Data processing Error analysis (Mathematics) |
| ISBN | 1-4704-0699-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | TABLE OF CONTENTS -- INTRODUCTION -- PART I. ANALYSIS OF DOUBLING -- 1. Feigenbaum universality for area-preserving maps -- 2. Generating functions -- 3. Further reduction of the problem -- 4. Spectral properties -- 5. Construction of the operator L -- 6. Construction of the doubling operator -- PART II. FUNCTIONAL ANALYSIS ON THE COMPUTER -- 1. Internal and neighborhood arithmetics -- 2. Spectral theory -- 3. Internal and neighborhood arithmetics on a computer -- List of correspondences -- PART III. PROOFS -- 1. Computer program -- 2. Program output -- Table 1REFERENCES. |
| Record Nr. | UNINA-9910819096203321 |
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Eckmann Jean Pierre
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| Providence, R.I., USA : , : American Mathematical Society, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
| Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby |
| Autore | Kirby Robion C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (373 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Piecewise linear topology Triangulating manifolds |
| Soggetto non controllato |
Affine space
Algebraic topology (object) Approximation Associative property Automorphism Big O notation CW complex Calculation Cap product Cartesian product Category of sets Chain complex Classification theorem Classifying space Cobordism Codimension Cofibration Cohomology Connected space Continuous function (set theory) Continuous function Counterexample Diffeomorphism Differentiable manifold Differential structure Differential topology Dimension (vector space) Direct proof Disjoint union Elementary proof Embedding Euclidean space Existence theorem Existential quantification Fiber bundle Fibration General position Geometry Group homomorphism H-cobordism H-space Handle decomposition Handlebody Hauptvermutung Hausdorff space Hilbert cube Homeomorphism group Homeomorphism Homomorphism Homotopy group Homotopy Inclusion map Injective function Invertible matrix K-cell (mathematics) Kan extension Linear subspace Linear topology Manifold Mapping cylinder Mathematical induction Mathematician Metric space Morse theory Neighbourhood (mathematics) Open set Partition of unity Piecewise linear manifold Piecewise linear Poincaré conjecture Polyhedron Principal bundle Product metric Pushout (category theory) Regular homotopy Retract Sheaf (mathematics) Simplicial complex Smoothing Spin structure Stability theory Stable manifold Standard map Submanifold Submersion (mathematics) Subset Surgery exact sequence Surjective function Theorem Topological group Topological manifold Topological space Topology Transversal (geometry) Transversality (mathematics) Transversality theorem Union (set theory) Uniqueness theorem Vector bundle Zorn's lemma |
| ISBN | 1-4008-8150-1 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter |
| Record Nr. | UNINA-9910154753803321 |
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Kirby Robion C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells
| Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells |
| Autore | Eells James |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (235 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Harmonic maps
Immersions (Mathematics) Differential equations, Elliptic - Numerical solutions |
| Soggetto non controllato |
Arc length
Catenary Clifford algebra Codimension Coefficient Compact space Complex projective space Connected sum Constant curvature Corollary Covariant derivative Curvature Cylinder (geometry) Degeneracy (mathematics) Diagram (category theory) Differential equation Differential geometry Elliptic partial differential equation Embedding Energy functional Equation Existence theorem Existential quantification Fiber bundle Gauss map Geometry and topology Geometry Gravitational field Harmonic map Hyperbola Hyperplane Hypersphere Hypersurface Integer Iterative method Levi-Civita connection Lie group Mathematics Maximum principle Mean curvature Normal (geometry) Numerical analysis Open set Ordinary differential equation Parabola Quadratic form Sign (mathematics) Special case Stiefel manifold Submanifold Suggestion Surface of revolution Symmetry Tangent bundle Theorem Vector bundle Vector space Vertical tangent Winding number |
| ISBN | 1-4008-8250-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX |
| Record Nr. | UNINA-9910154754703321 |
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Eells James
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Induction theorems for groups of homotopy manifold structures / / Andrew J. Nicas
| Induction theorems for groups of homotopy manifold structures / / Andrew J. Nicas |
| Autore | Nicas Andrew J. <1957-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (116 p.) |
| Disciplina |
510 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Homotopy theory Topological manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0674-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""1. PRELIMINARIES""; ""1.1 N-ads""; ""1.2 Î?-objects""; ""1.3 The Homotopy Theory of Î?-Sets""; ""1.4 Function Spaces""; ""2. SURGERY SPACES""; ""2.1 Definitions""; ""2.2 Surgery Spaces""; ""2.3 Spaces of Homotopy Structures and Normal Maps""; ""3. SURGERY MOCK BUNDLES AND ASSEMBLY""; ""3.1 Surgery Spectra""; ""3.2 Surgery Mock Bundles""; ""3.3 Assembly""; ""4. INDUCTION AND RESTRICTION""; ""4.1 The Transfer in Surgery Mock Bundle Theory""; ""4.2 The Transfer in the Theory of Surgery Spaces""; ""5. GROUP STRUCTURE IN THE SURGERY EXACT SEQUENCE""
""6. INDUCTION THEOREMS""""6.1 Algebraic Preliminaries""; ""6.2 Induction Theorem for s[sub(TOP)]( )""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910480024903321 |
|
Nicas Andrew J. <1957->
|
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| Providence, R.I., USA : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Induction theorems for groups of homotopy manifold structures / / Andrew J. Nicas
| Induction theorems for groups of homotopy manifold structures / / Andrew J. Nicas |
| Autore | Nicas Andrew J. <1957-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (116 p.) |
| Disciplina |
510 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Homotopy theory Topological manifolds |
| ISBN | 1-4704-0674-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""1. PRELIMINARIES""; ""1.1 N-ads""; ""1.2 Î?-objects""; ""1.3 The Homotopy Theory of Î?-Sets""; ""1.4 Function Spaces""; ""2. SURGERY SPACES""; ""2.1 Definitions""; ""2.2 Surgery Spaces""; ""2.3 Spaces of Homotopy Structures and Normal Maps""; ""3. SURGERY MOCK BUNDLES AND ASSEMBLY""; ""3.1 Surgery Spectra""; ""3.2 Surgery Mock Bundles""; ""3.3 Assembly""; ""4. INDUCTION AND RESTRICTION""; ""4.1 The Transfer in Surgery Mock Bundle Theory""; ""4.2 The Transfer in the Theory of Surgery Spaces""; ""5. GROUP STRUCTURE IN THE SURGERY EXACT SEQUENCE""
""6. INDUCTION THEOREMS""""6.1 Algebraic Preliminaries""; ""6.2 Induction Theorem for s[sub(TOP)]( )""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910788897503321 |
|
Nicas Andrew J. <1957->
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Induction theorems for groups of homotopy manifold structures / / Andrew J. Nicas
| Induction theorems for groups of homotopy manifold structures / / Andrew J. Nicas |
| Autore | Nicas Andrew J. <1957-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (116 p.) |
| Disciplina |
510 s
514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Homotopy theory Topological manifolds |
| ISBN | 1-4704-0674-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""1. PRELIMINARIES""; ""1.1 N-ads""; ""1.2 Î?-objects""; ""1.3 The Homotopy Theory of Î?-Sets""; ""1.4 Function Spaces""; ""2. SURGERY SPACES""; ""2.1 Definitions""; ""2.2 Surgery Spaces""; ""2.3 Spaces of Homotopy Structures and Normal Maps""; ""3. SURGERY MOCK BUNDLES AND ASSEMBLY""; ""3.1 Surgery Spectra""; ""3.2 Surgery Mock Bundles""; ""3.3 Assembly""; ""4. INDUCTION AND RESTRICTION""; ""4.1 The Transfer in Surgery Mock Bundle Theory""; ""4.2 The Transfer in the Theory of Surgery Spaces""; ""5. GROUP STRUCTURE IN THE SURGERY EXACT SEQUENCE""
""6. INDUCTION THEOREMS""""6.1 Algebraic Preliminaries""; ""6.2 Induction Theorem for s[sub(TOP)]( )""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910828762403321 |
|
Nicas Andrew J. <1957->
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| Providence, R.I., USA : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Local surgery and the exact sequence of a localization for Wall groups / / William Pardon
| Local surgery and the exact sequence of a localization for Wall groups / / William Pardon |
| Autore | Pardon William <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (186 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Group rings Localization theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0157-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Chapter Seven: Local surgery in the even-dimensional case""""Chapter Eight: The simply-connected case and â??[sub(1)] unrestricted""; ""Index of Symbols and Terminology""; ""Bibliography"" |
| Record Nr. | UNINA-9910480581103321 |
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Pardon William <1947->
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| Providence, Rhode Island : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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