Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen.
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties o...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1980 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
92 |
| Online Access: | |
| Physical Description: | 1 online resource (296 p.) |
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| LEADER | 06373nam a22015015i 4500 | ||
|---|---|---|---|
| 001 | 9781400881475 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20161980nju fo d z eng d | ||
| 020 | |a 9781400881475 | ||
| 024 | 7 | |a 10.1515/9781400881475 |2 doi | |
| 035 | |a (DE-B1597)468012 | ||
| 035 | |a (OCoLC)979911330 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA613.2 | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 514/.223 |
| 100 | 1 | |a Madsen, Ib, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / |c R. James Milgram, Ib Madsen. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©1980 | |
| 300 | |a 1 online resource (296 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 92 | |
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t INTRODUCTION -- |t CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- |t CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- |t CHAPTER 3. THE SPACES SG AND BSG -- |t CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- |t CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- |t CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- |t CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- |t CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- |t CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- |t CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- |t CHAPTER 11. INTEGRALITY THEOREMS -- |t CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- |t CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- |t CHAPTER 14. THE TYPES OF TORSION GENERATORS -- |t APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- |t BIBLIOGRAPHY -- |t INDEX -- |t Backmatter |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Classifying spaces. | |
| 650 | 0 | |a Cobordism theory. | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Surgery (Topology). | |
| 650 | 7 | |a MATHEMATICS / Geometry / General. |2 bisacsh | |
| 653 | |a Bijection. | ||
| 653 | |a Calculation. | ||
| 653 | |a Characteristic class. | ||
| 653 | |a Classification theorem. | ||
| 653 | |a Classifying space. | ||
| 653 | |a Closed manifold. | ||
| 653 | |a Cobordism. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Commutative diagram. | ||
| 653 | |a Commutative property. | ||
| 653 | |a Complex projective space. | ||
| 653 | |a Connected sum. | ||
| 653 | |a Corollary. | ||
| 653 | |a Cup product. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Differentiable manifold. | ||
| 653 | |a Disjoint union. | ||
| 653 | |a Disk (mathematics). | ||
| 653 | |a Effective method. | ||
| 653 | |a Eilenberg-Moore spectral sequence. | ||
| 653 | |a Elaboration. | ||
| 653 | |a Equivalence class. | ||
| 653 | |a Exact sequence. | ||
| 653 | |a Exterior algebra. | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Fibration. | ||
| 653 | |a Function composition. | ||
| 653 | |a H-space. | ||
| 653 | |a Homeomorphism. | ||
| 653 | |a Homomorphism. | ||
| 653 | |a Homotopy fiber. | ||
| 653 | |a Homotopy group. | ||
| 653 | |a Homotopy. | ||
| 653 | |a Hopf algebra. | ||
| 653 | |a Iterative method. | ||
| 653 | |a Loop space. | ||
| 653 | |a Manifold. | ||
| 653 | |a Massey product. | ||
| 653 | |a N-sphere. | ||
| 653 | |a Normal bundle. | ||
| 653 | |a Obstruction theory. | ||
| 653 | |a Pairing. | ||
| 653 | |a Permutation. | ||
| 653 | |a Piecewise linear manifold. | ||
| 653 | |a Piecewise linear. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Prime number. | ||
| 653 | |a Projective space. | ||
| 653 | |a Sequence. | ||
| 653 | |a Simply connected space. | ||
| 653 | |a Special case. | ||
| 653 | |a Spin structure. | ||
| 653 | |a Steenrod algebra. | ||
| 653 | |a Subset. | ||
| 653 | |a Summation. | ||
| 653 | |a Tensor product. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topological group. | ||
| 653 | |a Topological manifold. | ||
| 653 | |a Topology. | ||
| 653 | |a Total order. | ||
| 700 | 1 | |a Milgram, R. James, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691082264 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400881475 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400881475 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400881475/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
| 912 | |a EBA_BACKALL | ||
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| 912 | |a ZDB-23-PMB |c 1940 |d 2020 | ||