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Algebraic K-Theory : Papers presented at the Conference held at Northwestern University, Evanston, January 12-16, 1976 / edited by Michael R. Stein
| Algebraic K-Theory : Papers presented at the Conference held at Northwestern University, Evanston, January 12-16, 1976 / edited by Michael R. Stein |
| Pubbl/distr/stampa | Berlin, : Springer, 1976 |
| Descrizione fisica | x, 409 p. ; 24 cm |
| Soggetto topico |
14-XX - Algebraic geometry [MSC 2020]
18-XX - Category theory; homological algebra [MSC 2020] 00Bxx - Conference proceedings and collections of articles [MSC 2020] |
| Soggetto non controllato |
Algebraic K-theory
Characteristic class Cohomology Homology K-theory |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0256686 |
| Berlin, : Springer, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Algebraic Topology : Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986 / edited by Gunnar Carlsson ... [et al.]
| Algebraic Topology : Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986 / edited by Gunnar Carlsson ... [et al.] |
| Pubbl/distr/stampa | Berlin, : Springer, 1989 |
| Descrizione fisica | x, 462 p. ; 24 cm |
| Soggetto topico |
55-XX - Algebraic topology [MSC 2020]
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020] |
| Soggetto non controllato |
Algebraic Topology
Characteristic class Cohomology Homology Homotopy Homotopy theory K-theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0265686 |
| Berlin, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
| C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas |
| Autore | Douglas Ronald G. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (94 pages) : illustrations |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
C*-algebras
K-theory Algebra, Homological |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Atiyah–Singer index theorem Automorphism Banach algebra Bijection Boundary value problem Bundle map C*-algebra Calculation Cardinal number Category of abelian groups Characteristic class Chern class Clifford algebra Coefficient Cohomology Compact operator Completely positive map Contact geometry Continuous function Corollary Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Dimension function Dimension Direct integral Direct proof Eigenvalues and eigenvectors Equivalence class Equivalence relation Essential spectrum Euler class Exact sequence Existential quantification Fiber bundle Finite group Fredholm operator Fredholm Free abelian group Fundamental class Fundamental group Hardy space Hermann Weyl Hilbert space Homological algebra Homology (mathematics) Homomorphism Homotopy Ideal (ring theory) Inner automorphism Irreducible representation K-group K-theory Lebesgue space Locally compact group Maximal compact subgroup Michael Atiyah Monomorphism Morphism Natural number Natural transformation Normal operator Operator algebra Operator norm Operator theory Orthogonal group Pairing Piecewise linear manifold Polynomial Pontryagin class Positive and negative parts Positive map Pseudo-differential operator Quaternion Quotient algebra Self-adjoint operator Self-adjoint Simply connected space Smooth structure Special case Stein manifold Strong topology Subalgebra Subgroup Subset Summation Tangent bundle Theorem Todd class Topology Torsion subgroup Unitary operator Universal coefficient theorem Variable (mathematics) Von Neumann algebra |
| ISBN | 1-4008-8146-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter |
| Record Nr. | UNINA-9910154752903321 |
Douglas Ronald G.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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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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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
| Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
| Autore | Madsen Ib |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 514/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Classifying spaces Surgery (Topology) Cobordism theory |
| Soggetto non controllato |
Bijection
Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order |
| ISBN | 1-4008-8147-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749003321 |
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Madsen Ib
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Cohomology of Infinite-Dimensional Lie Algebras / D. B. Fuks ; Translated from Russian by A. B. Sosinskii
| Cohomology of Infinite-Dimensional Lie Algebras / D. B. Fuks ; Translated from Russian by A. B. Sosinskii |
| Autore | Fuks, Dmitry B. |
| Pubbl/distr/stampa | New York, : Consultants Bureau, 1986 |
| Descrizione fisica | xii, 339 p. : ill. ; 24 cm |
| Soggetto topico |
17-XX - Nonassociative rings and algebras [MSC 2020]
55N22 - Bordism and cobordism theories and formal group laws in algebraic topology [MSC 2020] 22E65 - Infinite-dimensional Lie groups and their Lie algebras: general properties [MSC 2020] 17B56 - Cohomology of Lie (super)algebras [MSC 2020] 17A70 - Superalgebras [MSC 2020] 17B55 - Homological methods in Lie (super)algebras [MSC 2020] 17B65 - Infinite-dimensional Lie (super)algebras [MSC 2020] 57T10 - Homology and cohomology of Lie groups [MSC 2020] |
| Soggetto non controllato |
Algebra
Bordism Boundary Element Methods Characteristic class Characters Classification Cohomology Finite Forms Graphs Homology Lie algebra Mathematics Real numbers |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268854 |
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Fuks, Dmitry B.
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| New York, : Consultants Bureau, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Differential forms in algebraic topology / Raoul Bott, Loring W. Tu
| Differential forms in algebraic topology / Raoul Bott, Loring W. Tu |
| Autore | Bott, Raoul <1923-2005> |
| Pubbl/distr/stampa | New York, : Springer, 1982 |
| Descrizione fisica | XIV, 331 p. : ill. ; 24 cm |
| Altri autori (Persone) | Tu, Loring W. |
| Soggetto topico |
58Axx - General theory of differentiable manifolds [MSC 2020]
57Rxx - Differential topology [MSC 2020] 14F40 - de Rham cohomology and algebraic geometry [MSC 2020] |
| Soggetto non controllato |
Algebraic
Algebraic Topology Characteristic class Cohomology Cohomology theory Homology Homotopy Homotopy theory Topology |
| ISBN | 978-03-87906-13-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0053196 |
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Bott, Raoul <1923-2005>
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| New York, : Springer, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Differential forms in algebraic topology / Raoul Bott, Loring W. Tu
| Differential forms in algebraic topology / Raoul Bott, Loring W. Tu |
| Autore | Bott, Raoul <1923-2005> |
| Pubbl/distr/stampa | New York, : Springer, 1982 |
| Descrizione fisica | xiv, 331 p. : ill. ; 24 cm |
| Altri autori (Persone) | Tu, Loring W. |
| Soggetto topico |
58Axx - General theory of differentiable manifolds [MSC 2020]
57Rxx - Differential topology [MSC 2020] 14F40 - de Rham cohomology and algebraic geometry [MSC 2020] |
| Soggetto non controllato |
Algebraic
Algebraic Topology Characteristic class Cohomology Cohomology theory Homology Homotopy Homotopy theory Topology |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268497 |
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Bott, Raoul <1923-2005>
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| New York, : Springer, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Elements of homotopy theory / George W. Whitehead
| Elements of homotopy theory / George W. Whitehead |
| Autore | Whitehead, George W. |
| Pubbl/distr/stampa | New York, : Springer, 1978 |
| Descrizione fisica | XXI, 744 p. : ill. ; 25 cm |
| Soggetto topico |
55-XX - Algebraic topology [MSC 2020]
54C35 - Function spaces in general topology [MSC 2020] 54C20 - Extension of maps [MSC 2020] 54C15 - Retraction [MSC 2020] 57T20 - Homotopy groups of topological groups and homogeneous spaces [MSC 2020] 57T15 - Homology and cohomology of homogeneous spaces of Lie groups [MSC 2020] 57Q05 - General topology of complexes [MSC 2020] 54Bxx - Basic constructions in general topology [MSC 2020] 57T05 - Hopf algebras (aspects of homology and homotopy of topological groups) [MSC 2020] 57T10 - Homology and cohomology of Lie groups [MSC 2020] 57T25 - Homology and cohomology of $H$-spaces [MSC 2020] |
| Soggetto non controllato |
Algebra
Characteristic class Computation Excision theorem Fundamental groups Groups Homotopy Homotopy Groups Hurewicz theorem Maxima Time elements |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268175 |
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Whitehead, George W.
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| New York, : Springer, 1978 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Flat Manifolds / Franz Kamber, Philippe Tondeur
| Flat Manifolds / Franz Kamber, Philippe Tondeur |
| Autore | Kamber, Franz W. |
| Pubbl/distr/stampa | Berlin, : Springer, 1968 |
| Descrizione fisica | vi, 53 p. : ill. ; 24 cm |
| Altri autori (Persone) | Tondeur, Philippe |
| Soggetto topico |
57-XX - Manifolds and cell complexes [MSC 2020]
55-XX - Algebraic topology [MSC 2020] |
| Soggetto non controllato |
Character
Characteristic class Euler characteristic Homotopy Manifolds Vector bundles |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0254629 |
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Kamber, Franz W.
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| Berlin, : Springer, 1968 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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