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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 |
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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Combinatorial symmetries of the m-dimensional ball / / Lowell Jones
| Combinatorial symmetries of the m-dimensional ball / / Lowell Jones |
| Autore | Jones Lowell <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Topological manifolds Unit ball |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0768-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Â0. Introduction to the Problem""; ""Â1. Reduction to a Blocked Surgery Problem t""; ""Â2. A Geometric Form of the Characteristic Variety Theorem; Reducing t to the Z[sub(r)] Surgery Problems {t[sub(i)]}""; ""Â3. Certain t[sub(i)] Have Simple Homological Kernels""; ""Â4. Completing Surgery on the t[sub(i)] which Have Simple Homological Kernels""; ""Â5. Completing Surgery on the Rest of the t[sub(i)]""; ""Â6. Classification of PL semi-free actions; further results; open problems""; ""Bibliography"" |
| Record Nr. | UNINA-9910480341503321 |
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Jones Lowell <1945->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combinatorial symmetries of the m-dimensional ball / / Lowell Jones
| Combinatorial symmetries of the m-dimensional ball / / Lowell Jones |
| Autore | Jones Lowell <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Topological manifolds Unit ball |
| ISBN | 1-4704-0768-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Â0. Introduction to the Problem""; ""Â1. Reduction to a Blocked Surgery Problem t""; ""Â2. A Geometric Form of the Characteristic Variety Theorem; Reducing t to the Z[sub(r)] Surgery Problems {t[sub(i)]}""; ""Â3. Certain t[sub(i)] Have Simple Homological Kernels""; ""Â4. Completing Surgery on the t[sub(i)] which Have Simple Homological Kernels""; ""Â5. Completing Surgery on the Rest of the t[sub(i)]""; ""Â6. Classification of PL semi-free actions; further results; open problems""; ""Bibliography"" |
| Record Nr. | UNINA-9910788882603321 |
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Jones Lowell <1945->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial symmetries of the m-dimensional ball / / Lowell Jones
| Combinatorial symmetries of the m-dimensional ball / / Lowell Jones |
| Autore | Jones Lowell <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surgery (Topology)
Topological manifolds Unit ball |
| ISBN | 1-4704-0768-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Â0. Introduction to the Problem""; ""Â1. Reduction to a Blocked Surgery Problem t""; ""Â2. A Geometric Form of the Characteristic Variety Theorem; Reducing t to the Z[sub(r)] Surgery Problems {t[sub(i)]}""; ""Â3. Certain t[sub(i)] Have Simple Homological Kernels""; ""Â4. Completing Surgery on the t[sub(i)] which Have Simple Homological Kernels""; ""Â5. Completing Surgery on the Rest of the t[sub(i)]""; ""Â6. Classification of PL semi-free actions; further results; open problems""; ""Bibliography"" |
| Record Nr. | UNINA-9910811636603321 |
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Jones Lowell <1945->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A course on surgery theory / / Stanley Chang, Shmuel Weinberger [[electronic resource]]
| A course on surgery theory / / Stanley Chang, Shmuel Weinberger [[electronic resource]] |
| Autore | Chang Stanley |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2021 |
| Descrizione fisica | 1 online resource (472 p.) : 14 b/w illus |
| Disciplina | 605 |
| Collana |
Annals of mathematics studies
Princeton scholarship online |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Borel conjecture
Chapman-Ferry Farrell-Hsiang Kirby-Siebenmann L-theory Novikov conjecture PL category PL topology algebraic topology assembly map assembly perspective on surgery bounded topology classification of manifolds controlled topology differential topology fibration flat manifolds homology manifolds homology surgery homotopy invariant homotopy theory index theorem induction theory manifold theory quadratic form theory quadratic form representation theory smooth category splitting theorems stratified spaces surgery exact sequence surgery obstruction group tangent bundle topological category topological surgery theory topology |
| ISBN | 0-691-20035-1 |
| Classificazione | 415.7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index |
| Record Nr. | UNINA-9910554281203321 |
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Chang Stanley
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| Princeton : , : Princeton University Press, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Equivariant surgery and classification of finite group actions on manifolds / / Karl Heinz Dovermann and Melvin Rothenberg
| Equivariant surgery and classification of finite group actions on manifolds / / Karl Heinz Dovermann and Melvin Rothenberg |
| Autore | Dovermann Karl Heinz <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Topological transformation groups
Surgery (Topology) Cobordism theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0799-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""7. Addition of equivariant surgery obstructions""""8. The exact surgery sequence""; ""9. Computations of equivariant surgery obstruction groups""; ""10. Rational surgery obstructions""; ""11. Classification of group actions on disks""; ""12. Closed manifolds which are not G homotopy equivalent to finite G CW-complexes"" |
| Record Nr. | UNINA-9910480742003321 |
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Dovermann Karl Heinz <1948->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Equivariant surgery and classification of finite group actions on manifolds / / Karl Heinz Dovermann and Melvin Rothenberg
| Equivariant surgery and classification of finite group actions on manifolds / / Karl Heinz Dovermann and Melvin Rothenberg |
| Autore | Dovermann Karl Heinz <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Topological transformation groups
Surgery (Topology) Cobordism theory |
| ISBN | 1-4704-0799-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""7. Addition of equivariant surgery obstructions""""8. The exact surgery sequence""; ""9. Computations of equivariant surgery obstruction groups""; ""10. Rational surgery obstructions""; ""11. Classification of group actions on disks""; ""12. Closed manifolds which are not G homotopy equivalent to finite G CW-complexes"" |
| Record Nr. | UNINA-9910788884903321 |
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Dovermann Karl Heinz <1948->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Equivariant surgery and classification of finite group actions on manifolds / / Karl Heinz Dovermann and Melvin Rothenberg
| Equivariant surgery and classification of finite group actions on manifolds / / Karl Heinz Dovermann and Melvin Rothenberg |
| Autore | Dovermann Karl Heinz <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Topological transformation groups
Surgery (Topology) Cobordism theory |
| ISBN | 1-4704-0799-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""7. Addition of equivariant surgery obstructions""""8. The exact surgery sequence""; ""9. Computations of equivariant surgery obstruction groups""; ""10. Rational surgery obstructions""; ""11. Classification of group actions on disks""; ""12. Closed manifolds which are not G homotopy equivalent to finite G CW-complexes"" |
| Record Nr. | UNINA-9910817121303321 |
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Dovermann Karl Heinz <1948->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Equivariant surgery theories and their periodicity properties / / Karl Heinz Dovermann, Reinhard Schultz
| Equivariant surgery theories and their periodicity properties / / Karl Heinz Dovermann, Reinhard Schultz |
| Autore | Dovermann Karl Heinz <1948-> |
| Edizione | [1st ed. 1990.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1990] |
| Descrizione fisica | 1 online resource (VIII, 228 p.) |
| Disciplina | 514.72 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Surgery (Topology)
Topological transformation groups |
| ISBN | 3-540-46394-1 |
| Classificazione | 57R67 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Summary: Background material and basic results -- to equivariant surgery -- Relations between equivariant surgery theories -- Periodicity theorems in equivariant surgery -- Twisted product formulas for surgery with coefficients -- Products and periodicity for surgery up to pseudoequivalence. |
| Record Nr. | UNISA-996466574903316 |
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Dovermann Karl Heinz <1948->
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1990] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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G surgery II / / Karl Heinz Dovermann and Ted Petrie
| G surgery II / / Karl Heinz Dovermann and Ted Petrie |
| Autore | Dovermann Karl Heinz <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina | 514/.223 |
| Collana | Memoirs of the American Mathematical Society, 0065-9266 |
| Soggetto topico |
Topological transformation groups
Manifolds (Mathematics) Surgery (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0667-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""0. The Main Results, Applications, and some History and Previews""; ""1. The Component Structure of a Smooth G Manifold""; ""2. The Group Ω(G,[omitted])""; ""3. The Terms in the G Surgery Sequence""; ""4. Bundle Data and G Surgery""; ""5. The Process of G Surgery""; ""6. The Projective Class Group and G Surgery""; ""7. The Main Zero Theorem""; ""8. Constructing Preambient Maps from G Transversality""; ""9. Converting Preambient G Maps to G Normal Maps""; ""Appendix A-1""; ""Appendix A-2""; ""Appendix B""; ""Bibliography"" |
| Altri titoli varianti | G surgery 2 |
| Record Nr. | UNINA-9910480611303321 |
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Dovermann Karl Heinz <1948->
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| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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