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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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Topological analysis [[electronic resource] ] : from the basics to the triple degree for nonlinear Fredholm inclusions / / Martin Väth
| Topological analysis [[electronic resource] ] : from the basics to the triple degree for nonlinear Fredholm inclusions / / Martin Väth |
| Autore | Väth Martin <1967-> |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 515/.724 |
| Collana | De Gruyter series in nonlinear analysis and applications |
| Soggetto topico |
Topological degree
Topological spaces Fredholm operators Algebraic topology |
| Soggetto non controllato |
Analysis
Banach Manifold Fredholm Hahn-Banach Theorem Implicit Function Theorem Inverse Function Theorem Linear Functional Analysis Multivalued Map Nonlinear Functional Analysis Nonlinear Inclusion Separation Axiom Topology Triple Degree |
| ISBN |
1-283-85794-4
3-11-027734-4 |
| Classificazione | SK 620 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Part I. Topology and Multivalued Maps -- Chapter 2. Multivalued Maps -- Chapter 3. Metric Spaces -- Chapter 4. Spaces Defined by Extensions, Retractions, or Homotopies -- Chapter 5. Advanced Topological Tools -- Part II. Coincidence Degree for Fredholm Maps -- Chapter 6. Some Functional Analysis -- Chapter 7. Orientation of Families of Linear Fredholm Operators -- Chapter 8. Some Nonlinear Analysis -- Chapter 9. The Brouwer Degree -- Chapter 10. The Benevieri-Furi Degrees -- Part III. Degree Theory for Function Triples -- Chapter 11. Function Triples -- Chapter 12. The Degree for Finite-Dimensional Fredholm Triples -- Chapter 13. The Degree for Compact Fredholm Triples -- Chapter 14. The Degree for Noncompact Fredholm Triples -- Bibliography -- Index of Symbols -- Index |
| Record Nr. | UNINA-9910790493803321 |
|
Väth Martin <1967->
|
||
| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological analysis : from the basics to the triple degree for nonlinear Fredholm inclusions / / Martin Väth
| Topological analysis : from the basics to the triple degree for nonlinear Fredholm inclusions / / Martin Väth |
| Autore | Väth Martin <1967-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 515/.724 |
| Collana | De Gruyter series in nonlinear analysis and applications |
| Soggetto topico |
Topological degree
Topological spaces Fredholm operators Algebraic topology |
| Soggetto non controllato |
Analysis
Banach Manifold Fredholm Hahn-Banach Theorem Implicit Function Theorem Inverse Function Theorem Linear Functional Analysis Multivalued Map Nonlinear Functional Analysis Nonlinear Inclusion Separation Axiom Topology Triple Degree |
| ISBN |
1-283-85794-4
3-11-027734-4 |
| Classificazione | SK 620 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Part I. Topology and Multivalued Maps -- Chapter 2. Multivalued Maps -- Chapter 3. Metric Spaces -- Chapter 4. Spaces Defined by Extensions, Retractions, or Homotopies -- Chapter 5. Advanced Topological Tools -- Part II. Coincidence Degree for Fredholm Maps -- Chapter 6. Some Functional Analysis -- Chapter 7. Orientation of Families of Linear Fredholm Operators -- Chapter 8. Some Nonlinear Analysis -- Chapter 9. The Brouwer Degree -- Chapter 10. The Benevieri-Furi Degrees -- Part III. Degree Theory for Function Triples -- Chapter 11. Function Triples -- Chapter 12. The Degree for Finite-Dimensional Fredholm Triples -- Chapter 13. The Degree for Compact Fredholm Triples -- Chapter 14. The Degree for Noncompact Fredholm Triples -- Bibliography -- Index of Symbols -- Index |
| Record Nr. | UNINA-9910816933603321 |
|
Väth Martin <1967->
|
||
| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||