The classifying spaces for surgery and cobordism of manifolds
Author(s)
Bibliographic Information
The classifying spaces for surgery and cobordism of manifolds
(Annals of mathematics studies, no. 92)(Tokyo University international edition, no. 154)
University of Tokyo Press, 1980, c1979
- : hbk
- : pbk
Available at 10 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
General Library Yamaguchi University
: hbk410.8/A550/920410739494,
: pbk410.8/A550/920410753426
Note
"Published in Japan exclusively by University of Tokyo Press, in other parts of the world by Princeton University Press"--T.p. verso
Bibliography: p. 263-273
Includes index
Some issues: Tokyo University international edition no. 153 (misprint?)
Description and Table of Contents
- Volume
-
: hbk ISBN 9780691082257
Description
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.
- Volume
-
: pbk ISBN 9780691082264
Description
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.
Table of Contents
- *Frontmatter, pg. i*CONTENTS, pg. v*INTRODUCTION, pg. ix*CHAPTER 1. CLASSIFYING SPACES AND COBORDISM, pg. 1*CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS, pg. 29*CHAPTER 3. THE SPACES SG AND BSG, pg. 45*CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP, pg. 76*CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[1/2] AND MSTOP[1/2], pg. 99*CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS, pg. 124*CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP), pg. 141*CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS, pg. 158*CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL, pg. 174*CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL, pg. 193*CHAPTER 11. INTEGRALITY THEOREMS, pg. 209*CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP
- Z/2), pg. 223*CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP, pg. 235*CHAPTER 14. THE TYPES OF TORSION GENERATORS, pg. 246*APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15, pg. 256*BIBLIOGRAPHY, pg. 263*INDEX, pg. 274*Backmatter, pg. 280
by "Nielsen BookData"