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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 | ||
| ||
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico / / Alejandro Adem, R. James Milgram, Douglas C. Ravenel, editors
| Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico / / Alejandro Adem, R. James Milgram, Douglas C. Ravenel, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1995] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico | Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7779-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Discrete groups, Grothendieck rings and families of finite subgroups""; ""Once in class with Sam""; ""Stably fibre homotopy invariant classes in complex-oriented theories""; ""Finite simple groups and Dickson invariants""; ""The Atiyah-Jones Conjecture""; ""On combinatorial group theory in homotopy""; ""On the homotopy theory associated to certain finite groups of 2-rank two""; ""Equivalences of some v1-telescopes""; ""The stable homotopy type of rank two p-groups""; ""Some homotopy of the cobordism spectrum MO(8)""
""Numerical invariants of fibrewise homotopy type""""Geometric dimension of bundles on real projective spaces""; ""Classifying spaces and their maps""; ""The Atiyah-Jones conjecture for ruled surfaces and the geometry of instanton moduli spaces""; ""Linear spaces of real matrices of given rank""; ""A note on the Adams e-invariant"" |
| Record Nr. | UNINA-9910480210603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1995] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico / / Alejandro Adem, R. James Milgram, Douglas C. Ravenel, editors
| Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico / / Alejandro Adem, R. James Milgram, Douglas C. Ravenel, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1995] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico | Homotopy theory |
| ISBN | 0-8218-7779-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788646203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1995] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico / / Alejandro Adem, R. James Milgram, Douglas C. Ravenel, editors
| Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico / / Alejandro Adem, R. James Milgram, Douglas C. Ravenel, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1995] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico | Homotopy theory |
| ISBN | 0-8218-7779-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910828835203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1995] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford, California / / Alejandro Adem, Gunnar Carlsson, Ralph Cohen, editors
| Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford, California / / Alejandro Adem, Gunnar Carlsson, Ralph Cohen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico | Algebraic topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7869-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""On Jim Milgram's mathematical work""; ""A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space""; ""The 1-line of the K-theory Bousfield-Kan spectral sequence for Spin(2n + 1)""; ""Homologically exotic free actions on products of Sm""; ""Surgery formulae for analytical invariants of manifolds""; ""On genus one mapping class groups, function spaces, and modular forms""; ""1. Introduction""; ""2. Statement of results""; ""3. Recollections for SL(2, Z) and modular forms""; ""4. On the Koszul complex and SL(2, Z)-modules"" |
| Record Nr. | UNINA-9910480948903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford, California / / Alejandro Adem, Gunnar Carlsson, Ralph Cohen, editors
| Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford, California / / Alejandro Adem, Gunnar Carlsson, Ralph Cohen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico | Algebraic topology |
| ISBN | 0-8218-7869-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- On Jim Milgram's mathematical work -- A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space -- The 1-line of the K-theory Bousfield-Kan spectral sequence for Spin(2n + 1) -- Homologically exotic free actions on products of Sm -- Surgery formulae for analytical invariants of manifolds -- On genus one mapping class groups, function spaces, and modular forms -- 1. Introduction -- 2. Statement of results -- 3. Recollections for SL(2, Z) and modular forms -- 4. On the Koszul complex and SL(2, Z)-modules. |
| Record Nr. | UNINA-9910788655603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford, California / / Alejandro Adem, Gunnar Carlsson, Ralph Cohen, editors
| Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James Milgram, August 17-21, 1999, Stanford, California / / Alejandro Adem, Gunnar Carlsson, Ralph Cohen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico | Algebraic topology |
| ISBN | 0-8218-7869-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- On Jim Milgram's mathematical work -- A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space -- The 1-line of the K-theory Bousfield-Kan spectral sequence for Spin(2n + 1) -- Homologically exotic free actions on products of Sm -- Surgery formulae for analytical invariants of manifolds -- On genus one mapping class groups, function spaces, and modular forms -- 1. Introduction -- 2. Statement of results -- 3. Recollections for SL(2, Z) and modular forms -- 4. On the Koszul complex and SL(2, Z)-modules. |
| Record Nr. | UNINA-9910828539003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||