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Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz
| Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz |
| Autore | Husemöller Dale |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, United States : , : Springer, , [2008] |
| Descrizione fisica | 1 online resource (XV, 340 p.) |
| Disciplina | 514.224 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
K-theory
Fiber bundles (Mathematics) |
| ISBN | 3-540-74956-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Physical Background to the K-Theory Classification of D-Branes: Introduction and References -- Physical Background to the K-Theory Classification of D-Branes: Introduction and References -- Bundles over a Space and Modules over an Algebra -- Generalities on Bundles and Categories -- Vector Bundles -- Relation Between Vector Bundles, Projective Modules, and Idempotents -- K-Theory of Vector Bundles, of Modules, and of Idempotents -- Principal Bundles and Sections of Fibre Bundles: Reduction of the Structure and the Gauge Group I -- Homotopy Classification of Bundles and Cohomology: Classifying Spaces -- Homotopy Classes of Maps and the Homotopy Groups -- The Milnor Construction: Homotopy Classification of Principal Bundles -- Fibrations and Bundles: Gauge Group II -- Cohomology Classes as Homotopy Classes: CW-Complexes -- Basic Characteristic Classes -- Characteristic Classes of Manifolds -- Spin Structures -- Versions of K-Theory and Bott Periodicity -- G-Spaces, G-Bundles, and G-Vector Bundles -- Equivariant K-Theory Functor KG : Periodicity, Thom Isomorphism, Localization, and Completion -- Bott Periodicity Maps and Clifford Algebras -- Gram–Schmidt Process, Iwasawa Decomposition, and Reduction of Structure in Principal Bundles -- Topological Algebras: G-Equivariance and KK-Theory -- Algebra Bundles: Twisted K-Theory -- Isomorphism Classification of Operator Algebra Bundles -- Brauer Group of Matrix Algebra Bundles and K-Groups -- Analytic Definition of Twisted K-Theory -- The Atiyah–Hirzebruch Spectral Sequence in K-Theory -- Twisted Equivariant K-Theory and the Verlinde Algebra -- Gerbes and the Three Dimensional Integral Cohomology Classes -- Bundle Gerbes -- Category Objects and Groupoid Gerbes -- Stacks and Gerbes -- Erratum. |
| Record Nr. | UNINA-9910146559803321 |
Husemöller Dale
|
||
| Berlin, Germany ; ; New York, United States : , : Springer, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz
| Basic bundle theory and k-cohomology invariants / / Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, S. Echterhoff, B. Krötz, Dale Husemöller, B. Krötz |
| Autore | Husemöller Dale |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, United States : , : Springer, , [2008] |
| Descrizione fisica | 1 online resource (XV, 340 p.) |
| Disciplina | 514.224 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
K-theory
Fiber bundles (Mathematics) |
| ISBN | 3-540-74956-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Physical Background to the K-Theory Classification of D-Branes: Introduction and References -- Physical Background to the K-Theory Classification of D-Branes: Introduction and References -- Bundles over a Space and Modules over an Algebra -- Generalities on Bundles and Categories -- Vector Bundles -- Relation Between Vector Bundles, Projective Modules, and Idempotents -- K-Theory of Vector Bundles, of Modules, and of Idempotents -- Principal Bundles and Sections of Fibre Bundles: Reduction of the Structure and the Gauge Group I -- Homotopy Classification of Bundles and Cohomology: Classifying Spaces -- Homotopy Classes of Maps and the Homotopy Groups -- The Milnor Construction: Homotopy Classification of Principal Bundles -- Fibrations and Bundles: Gauge Group II -- Cohomology Classes as Homotopy Classes: CW-Complexes -- Basic Characteristic Classes -- Characteristic Classes of Manifolds -- Spin Structures -- Versions of K-Theory and Bott Periodicity -- G-Spaces, G-Bundles, and G-Vector Bundles -- Equivariant K-Theory Functor KG : Periodicity, Thom Isomorphism, Localization, and Completion -- Bott Periodicity Maps and Clifford Algebras -- Gram–Schmidt Process, Iwasawa Decomposition, and Reduction of Structure in Principal Bundles -- Topological Algebras: G-Equivariance and KK-Theory -- Algebra Bundles: Twisted K-Theory -- Isomorphism Classification of Operator Algebra Bundles -- Brauer Group of Matrix Algebra Bundles and K-Groups -- Analytic Definition of Twisted K-Theory -- The Atiyah–Hirzebruch Spectral Sequence in K-Theory -- Twisted Equivariant K-Theory and the Verlinde Algebra -- Gerbes and the Three Dimensional Integral Cohomology Classes -- Bundle Gerbes -- Category Objects and Groupoid Gerbes -- Stacks and Gerbes -- Erratum. |
| Record Nr. | UNISA-996466695603316 |
|
Husemöller Dale
|
||
| Berlin, Germany ; ; New York, United States : , : Springer, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
C Bundles and compact transformation groups / / Bruce D. Evans
| C Bundles and compact transformation groups / / Bruce D. Evans |
| Autore | Evans Bruce D. <1951-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fiber bundles (Mathematics) Lie groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0676-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Preliminaries""; ""2. Construction of E(G,X)""; ""3. Consequences of the slice theorem""; ""4. Topologies on some spaces of maps""; ""5. The covering isotopy property""; ""6. Proof of the covering isotopy theorem""; ""7. Classification of coning data""; ""8. A concordance theorem""; ""9. Existence of coning data""; ""10. Stratified spaces and bundles""; ""11. Extension theory for stratified bundles""; ""Bibliography"" |
| Record Nr. | UNINA-9910480836803321 |
|
Evans Bruce D. <1951->
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
C Bundles and compact transformation groups / / Bruce D. Evans
| C Bundles and compact transformation groups / / Bruce D. Evans |
| Autore | Evans Bruce D. <1951-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fiber bundles (Mathematics) Lie groups |
| ISBN | 1-4704-0676-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Preliminaries""; ""2. Construction of E(G,X)""; ""3. Consequences of the slice theorem""; ""4. Topologies on some spaces of maps""; ""5. The covering isotopy property""; ""6. Proof of the covering isotopy theorem""; ""7. Classification of coning data""; ""8. A concordance theorem""; ""9. Existence of coning data""; ""10. Stratified spaces and bundles""; ""11. Extension theory for stratified bundles""; ""Bibliography"" |
| Record Nr. | UNINA-9910788898103321 |
|
Evans Bruce D. <1951->
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
C Bundles and compact transformation groups / / Bruce D. Evans
| C Bundles and compact transformation groups / / Bruce D. Evans |
| Autore | Evans Bruce D. <1951-> |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fiber bundles (Mathematics) Lie groups |
| ISBN | 1-4704-0676-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Preliminaries""; ""2. Construction of E(G,X)""; ""3. Consequences of the slice theorem""; ""4. Topologies on some spaces of maps""; ""5. The covering isotopy property""; ""6. Proof of the covering isotopy theorem""; ""7. Classification of coning data""; ""8. A concordance theorem""; ""9. Existence of coning data""; ""10. Stratified spaces and bundles""; ""11. Extension theory for stratified bundles""; ""Bibliography"" |
| Record Nr. | UNINA-9910827441203321 |
|
Evans Bruce D. <1951->
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The classification and structure of C-algebra bundles / / Maurice J. Dupré
| The classification and structure of C-algebra bundles / / Maurice J. Dupré |
| Autore | Dupré Maurice J. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1979] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fiber bundles (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0603-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Acknowledgement""; ""1. The Main Theorem""; ""2. The Neighborhood Extension Property""; ""3. The Extension of an Embedding""; ""4. Tensor Products of C*-bundles""; ""5. Bundle Commutants""; ""6. Banach Bundle Pasting""; ""7. Homotopy and C*-bundles""; ""8. Proof of the Theorem""; ""9. Applications""; ""10. Stable Isomorphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910480023603321 |
|
Dupré Maurice J.
|
||
| Providence : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The classification and structure of C-algebra bundles / / Maurice J. Dupré
| The classification and structure of C-algebra bundles / / Maurice J. Dupré |
| Autore | Dupré Maurice J. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1979] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fiber bundles (Mathematics) |
| ISBN | 1-4704-0603-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Acknowledgement""; ""1. The Main Theorem""; ""2. The Neighborhood Extension Property""; ""3. The Extension of an Embedding""; ""4. Tensor Products of C*-bundles""; ""5. Bundle Commutants""; ""6. Banach Bundle Pasting""; ""7. Homotopy and C*-bundles""; ""8. Proof of the Theorem""; ""9. Applications""; ""10. Stable Isomorphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910788893003321 |
|
Dupré Maurice J.
|
||
| Providence : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The classification and structure of C-algebra bundles / / Maurice J. Dupré
| The classification and structure of C-algebra bundles / / Maurice J. Dupré |
| Autore | Dupré Maurice J. |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1979] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fiber bundles (Mathematics) |
| ISBN | 1-4704-0603-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Introduction""; ""Acknowledgement""; ""1. The Main Theorem""; ""2. The Neighborhood Extension Property""; ""3. The Extension of an Embedding""; ""4. Tensor Products of C*-bundles""; ""5. Bundle Commutants""; ""6. Banach Bundle Pasting""; ""7. Homotopy and C*-bundles""; ""8. Proof of the Theorem""; ""9. Applications""; ""10. Stable Isomorphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910827410003321 |
|
Dupré Maurice J.
|
||
| Providence : , : American Mathematical Society, , [1979] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying spaces and fibrations / / J. Peter May
| Classifying spaces and fibrations / / J. Peter May |
| Autore | May J. Peter |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1975] |
| Descrizione fisica | 1 online resource (115 p.) |
| Disciplina |
510/.8 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Classifying spaces
Fiber spaces (Mathematics) Fiber bundles (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9956-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. F-spaces and F-maps""; ""2. F-fibrations""; ""3. F-lifting functions""; ""4. Categories of fibres""; ""5. F-quasifibrations and based fibres""; ""6. Examples of categories of fibres""; ""7. The geometric bar construction""; ""8. Groups, homogeneous spaces, and Abelian monoids""; ""9. The classification theorems""; ""10. The definition and examples of Y-structures""; ""11. The classification of Y-structures""; ""12. A categorical generalization of the bar construction""; ""13. The algebraic and geometric bar constructions""; ""14. Transports and the Serre spectral sequence""
""15. The group completion theorem""""Bibliography"" |
| Record Nr. | UNINA-9910480561003321 |
|
May J. Peter
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying spaces and fibrations / / J. Peter May
| Classifying spaces and fibrations / / J. Peter May |
| Autore | May J. Peter |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1975] |
| Descrizione fisica | 1 online resource (115 p.) |
| Disciplina |
510/.8 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Classifying spaces
Fiber spaces (Mathematics) Fiber bundles (Mathematics) |
| ISBN | 0-8218-9956-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. F-spaces and F-maps""; ""2. F-fibrations""; ""3. F-lifting functions""; ""4. Categories of fibres""; ""5. F-quasifibrations and based fibres""; ""6. Examples of categories of fibres""; ""7. The geometric bar construction""; ""8. Groups, homogeneous spaces, and Abelian monoids""; ""9. The classification theorems""; ""10. The definition and examples of Y-structures""; ""11. The classification of Y-structures""; ""12. A categorical generalization of the bar construction""; ""13. The algebraic and geometric bar constructions""; ""14. Transports and the Serre spectral sequence""
""15. The group completion theorem""""Bibliography"" |
| Record Nr. | UNINA-9910788617103321 |
|
May J. Peter
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1975] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
