Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (379 pages) |
Disciplina | 513.83 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Atiyah-Singer index theorem
Differential topology Homology theory |
Soggetto non controllato |
Addition
Adjoint Algebraic topology Algebraic variety Almost complex manifold Arf invariant Asymptotic expansion Atiyah–Singer index theorem Automorphism Axiom Banach space Big O notation Boundary value problem Bounded operator Characteristic class Chern class Cohomology Cokernel Compact operator Complex vector bundle Computation Connected component (graph theory) Coordinate system Corollary Cotangent bundle Differentiable function Differentiable manifold Differential operator Dimension (vector space) Dimension Disjoint union Division by zero Elliptic operator Elliptic partial differential equation Equivalence class Euclidean space Euler class Exact sequence Existential quantification Fiber bundle Formal power series Fourier transform Fredholm operator Functional analysis Gelfand Grothendieck group H-cobordism Hilbert space Hodge theory Homogeneous polynomial Homomorphism Homotopy Indeterminate (variable) Injective function Integer Isomorphism class Jet bundle K-theory L-theory Linear map Manifold Michael Atiyah Natural transformation Normal bundle Orientability Pairing Partial differential equation Polynomial ring Polynomial Principal bundle Projection (mathematics) Riemann–Roch theorem Ring (mathematics) Robert M. Solovay Sign convention Singular integral Sobolev inequality Spanning tree Special case Subgroup Submanifold Subring Suggestion Summation Surjective function Symmetric bilinear form Symmetric function Tangent bundle Tangent space Tensor product Theorem Todd class Topological vector space Uniqueness theorem Vector bundle Vector space |
ISBN | 1-4008-8204-4 |
Classificazione | SK 350 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Palais, Richard S. -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF / Borel, A. -- CHAPTER II. REVIEW OF K-THEORY / Solovay, Robert -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE / Solovay, Robert -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES / Palais, Richard S. -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS / Solovay, Robert M. -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS / Palais, Richard S. -- CHAPTER VII. FREDHDIM OPERATORS / Palais, Richard S. -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES / Palais, Richard S. -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER XI. THE SEELEY ALGEBRA / Palais, Richard S. -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX / Palaie, Richard S. -- CHAPTER XIII. WHITNEY SUMS / Palais, Richard S. -- CHAPTER XIV. TENSOR PRODUCTS / Palais, Richard S. -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) / Solovay, Robert M. -- CHAPTER XVI. CONSTRUCTION OF Intk / Palais, R. S. / Seeley, R. T. -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX / Palais, R. S. / Seeley, R. T. -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES / Floyd, E. E. -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS / Solovay, Robert M. -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY / Atiyah, M. F. -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS / Shih, Weishu -- Backmatter |
Record Nr. | UNINA-9910154746103321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Seminar on Fiber Spaces : Lectures delivered in 1964 in Berkeley and 1965 in Zürich / Emery Thomas |
Autore | Thomas, Emery |
Pubbl/distr/stampa | Berlin, : Springer, 1966 |
Descrizione fisica | vi, 46 p. ; 24 cm |
Soggetto topico |
55-XX - Algebraic topology [MSC 2020]
55Rxx - Fiber spaces and bundles in algebraic topology [MSC 2020] |
Soggetto non controllato |
Composing
Homotopy Homotopy Groups Invariant Spaces |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0254477 |
Thomas, Emery
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Berlin, : Springer, 1966 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Seminar on minimal submanifolds / / edited by Enrico Bombieri |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , 1983 |
Descrizione fisica | 1 online resource (368 pages) : illustrations |
Disciplina | 516.3/6 |
Collana | Annals of mathematics studies |
Soggetto topico | Minimal submanifolds |
Soggetto non controllato |
A priori estimate
Analytic function Banach space Boundary (topology) Boundary value problem Bounded set (topological vector space) Branch point Cauchy–Riemann equations Center manifold Closed geodesic Codimension Coefficient Cohomology Compactness theorem Comparison theorem Configuration space Conformal geometry Conformal group Conformal map Continuous function Cross product Curve Degeneracy (mathematics) Diffeomorphism Differential form Dirac operator Discrete group Divergence theorem Eigenvalues and eigenvectors Elementary proof Equation Existence theorem Existential quantification Exterior derivative First variation Free boundary problem Fundamental group Gauss map Geodesic Geometry Group action Hamiltonian mechanics Harmonic function Harmonic map Hausdorff dimension Hausdorff measure Homotopy group Homotopy Hurewicz theorem Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Hypersurface Implicit function theorem Infimum and supremum Injective function Inner automorphism Isolated singularity Isometry group Isoperimetric problem Klein bottle Kleinian group Limit set Lipschitz continuity Mapping class group Maxima and minima Maximum principle Minimal surface of revolution Minimal surface Monotonic function Möbius transformation Norm (mathematics) Orthonormal basis Parametric surface Periodic function Poincaré conjecture Projection (linear algebra) Regularity theorem Riemann surface Riemannian manifold Schwarz reflection principle Second fundamental form Semi-continuity Simply connected space Special case Stein's lemma Subalgebra Subgroup Submanifold Subsequence Support (mathematics) Symplectic manifold Tangent space Teichmüller space Theorem Trace (linear algebra) Uniformization Uniqueness theorem Variational principle Yamabe problem |
ISBN | 1-4008-8143-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- Backmatter |
Record Nr. | UNINA-9910154753403321 |
Princeton, NJ : , : Princeton University Press, , 1983 | ||
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Lo trovi qui: Univ. Federico II | ||
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Shape Theory and Geometric Topology : Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19-30, 1981 / edited by S. Mardesic, J. Segal |
Pubbl/distr/stampa | Berlin, : Springer, 1981 |
Descrizione fisica | viii, 268 p. ; 24 cm |
Soggetto topico |
55-XX - Algebraic topology [MSC 2020]
54-XX - General topology [MSC 2020] 00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020] |
Soggetto non controllato |
Boundary Element Methods
Character Compactification Fibrations Finite Geometric topology Homology Homotopy Manifolds Mapping Shapes Topology |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0261907 |
Berlin, : Springer, 1981 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Simplicial complexes of graphs / Jakob Jonsson |
Autore | Jonsson, Jakob |
Pubbl/distr/stampa | Berlin, : Springer, 2008 |
Descrizione fisica | XIV, 378 p. ; 24 cm |
Soggetto topico |
05E18 - Group actions on combinatorial structures [MSC 2020]
55U10 - Simplicial sets and complexes in algebraic topology [MSC 2020] 06A11 - Algebraic aspects of posets [MSC 2020] 05E40 - Combinatorial aspects of commutative algebra [MSC 2020] |
Soggetto non controllato |
Graphs
Homology Homotopy Hypergraph Matching Sim Vertex |
ISBN | 978-35-407-5858-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0064515 |
Jonsson, Jakob
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Berlin, : Springer, 2008 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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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
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur |
Autore | Hirsch Morris W. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (149 pages) |
Disciplina | 514/.224 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Piecewise linear topology
Manifolds (Mathematics) |
Soggetto non controllato |
Affine transformation
Approximation Associative property Bijection Bundle map Classification theorem Codimension Coefficient Cohomology Commutative property Computation Convex cone Convolution Corollary Counterexample Diffeomorphism Differentiable function Differentiable manifold Differential structure Dimension Direct proof Division by zero Embedding Empty set Equivalence class Equivalence relation Euclidean space Existential quantification Exponential map (Lie theory) Fiber bundle Fibration Functor Grassmannian H-space Homeomorphism Homotopy Integral curve Inverse problem Isomorphism class K0 Linearization Manifold Mathematical induction Milnor conjecture Natural transformation Neighbourhood (mathematics) Normal bundle Obstruction theory Open set Partition of unity Piecewise linear Polyhedron Reflexive relation Regular map (graph theory) Sheaf (mathematics) Smoothing Smoothness Special case Submanifold Tangent bundle Tangent vector Theorem Topological manifold Topological space Topology Transition function Transitive relation Vector bundle Vector field |
ISBN | 1-4008-8168-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- REFERENCES -- CONTENTS -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS / Hirsch, Morris W. -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION / Hirsch, Morris W. / Mazur, Barry -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154743503321 |
Hirsch Morris W.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz |
Autore | Schwartz Richard Evan |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2007 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 516.3/6 |
Collana | Annals of mathematics studies |
Soggetto topico |
CR submanifolds
Dehn surgery (Topology) Three-manifolds (Topology) |
Soggetto non controllato |
Arc (geometry)
Automorphism Ball (mathematics) Bijection Bump function CR manifold Calculation Canonical basis Cartesian product Clifford torus Combinatorics Compact space Conjugacy class Connected space Contact geometry Convex cone Convex hull Coprime integers Coset Covering space Dehn surgery Dense set Diagram (category theory) Diameter Diffeomorphism Differential geometry of surfaces Discrete group Double coset Eigenvalues and eigenvectors Equation Equivalence class Equivalence relation Euclidean distance Four-dimensional space Function (mathematics) Fundamental domain Geometry and topology Geometry Harmonic function Hexagonal tiling Holonomy Homeomorphism Homology (mathematics) Homotopy Horosphere Hyperbolic 3-manifold Hyperbolic Dehn surgery Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperbolic triangle Hypersurface I0 Ideal triangle Intermediate value theorem Intersection (set theory) Isometry group Isometry Limit point Limit set Manifold Mathematical induction Metric space Möbius transformation Parameter Parity (mathematics) Partial derivative Partition of unity Permutation Polyhedron Projection (linear algebra) Projectivization Quotient space (topology) R-factor (crystallography) Real projective space Right angle Sard's theorem Seifert fiber space Set (mathematics) Siegel domain Simply connected space Solid torus Special case Sphere Stereographic projection Subgroup Subsequence Subset Tangent space Tangent vector Tetrahedron Theorem Topology Torus Transversality (mathematics) Triangle group Union (set theory) Unit disk Unit sphere Unit tangent bundle |
ISBN |
1-4008-3719-7
0-691-12810-3 |
Classificazione | SK 350 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index |
Record Nr. | UNINA-9910791746703321 |
Schwartz Richard Evan
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Princeton : , : Princeton University Press, , 2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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Spherical CR geometry and Dehn surgery / / Richard Evan Schwartz |
Autore | Schwartz Richard Evan |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2007 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 516.3/6 |
Collana | Annals of mathematics studies |
Soggetto topico |
CR submanifolds
Dehn surgery (Topology) Three-manifolds (Topology) |
Soggetto non controllato |
Arc (geometry)
Automorphism Ball (mathematics) Bijection Bump function CR manifold Calculation Canonical basis Cartesian product Clifford torus Combinatorics Compact space Conjugacy class Connected space Contact geometry Convex cone Convex hull Coprime integers Coset Covering space Dehn surgery Dense set Diagram (category theory) Diameter Diffeomorphism Differential geometry of surfaces Discrete group Double coset Eigenvalues and eigenvectors Equation Equivalence class Equivalence relation Euclidean distance Four-dimensional space Function (mathematics) Fundamental domain Geometry and topology Geometry Harmonic function Hexagonal tiling Holonomy Homeomorphism Homology (mathematics) Homotopy Horosphere Hyperbolic 3-manifold Hyperbolic Dehn surgery Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hyperbolic triangle Hypersurface I0 Ideal triangle Intermediate value theorem Intersection (set theory) Isometry group Isometry Limit point Limit set Manifold Mathematical induction Metric space Möbius transformation Parameter Parity (mathematics) Partial derivative Partition of unity Permutation Polyhedron Projection (linear algebra) Projectivization Quotient space (topology) R-factor (crystallography) Real projective space Right angle Sard's theorem Seifert fiber space Set (mathematics) Siegel domain Simply connected space Solid torus Special case Sphere Stereographic projection Subgroup Subsequence Subset Tangent space Tangent vector Tetrahedron Theorem Topology Torus Transversality (mathematics) Triangle group Union (set theory) Unit disk Unit sphere Unit tangent bundle |
ISBN |
1-4008-3719-7
0-691-12810-3 |
Classificazione | SK 350 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Part 1. Basic Material -- Part 2. Proof of the HST -- Part 3. The Applications -- Part 4. Structure of Ideal Triangle Groups -- Bibliography -- Index |
Record Nr. | UNINA-9910815312903321 |
Schwartz Richard Evan
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Princeton : , : Princeton University Press, , 2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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Stable Homotopy / Joel M. Cohen |
Autore | Cohen, Joel M. |
Pubbl/distr/stampa | Berlin, : Springer, 1970 |
Descrizione fisica | viii, 200 p. ; 24 cm |
Soggetto topico | 55-XX - Algebraic topology [MSC 2020] |
Soggetto non controllato |
Algebra
Calculation Homology Homotopy |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0255177 |
Cohen, Joel M.
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Berlin, : Springer, 1970 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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