دانلود کتاب Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92

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CONTENTS\nINTRODUCTION\nCHAPTER 1. CLASSIFYING SPACES AND COBORDISM\n A. Bundles with fiber F and structure group II\n B. The classifying spaces for the classical Lie groups\n C. The cobordism classification of closed manifolds\n D. Oriented cobordism theories and localization\n E. Connections between cobordism and characteristic classes\nCHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS\n A. Poincare duality spaces and the Spivak normal bundle\n B. The Browder-Novikov theorems and degree 1 normal maps\n C. The number of manifolds in a homotopy type\nCHAPTER 3. THE SPACES SG AND BSG\n A. The spaces of stable homotopy equivalences\n B. The space Q(S^0) and its structure\n C. Wreath products, transfer, and the Sylow 2-subgroups of Σn\n D. A detecting family for the Sylow 2-subgroups of Σn\n E. The image of H*(BΣn) in the cohomology of the detecting groups\n F. The homology of Q(S^0) and SG\n G. The proof of Theorem 3.32\nCHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP\n A. The 2-local homotopy type of G/PL\n B. Ring spectra, orientations and K-theory at odd primes\n C. Piece-wise linear Pontrjagin classes\n D. The homotopy type of G/PL[1/2]\n E. The H-space structure of G/PL\nCHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[1/2] AND MSTOP[1/2]\n A. The KO-orientation of PL-bundles away from 2\n B. The splitting of p-local PL-bundles, p odd\n C. The homotopy types of G/O[p] and SG[p]\n D. The splitting of MSPL[p], p odd\n E. Brumfiel\'s results\n F. The map f : SG[p] → BU⊗[p]\nCHAPTER 6. INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS\n A. Homology operations\n B. Homology operations in H*(Q(S^0)) and H*(SG)\n C. The Pontrjagin ring H*(BSG)\nCHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP)\n A. Products of Eilenberg-MacLane spaces and operations in H*(G/TOP)\n B. Massey products in infinite loop spaces\n C. The proof of Theorem 7.1\nCHAPTER 8. THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS\n A. The map η: Ω*(G/PL)\n B. The Kervaire and Milnor manifolds\n C. Constructing the exotic complex projective spaces\nCHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL\n A. An important Hopf algebra\n B. The Hopf algebras F*(BSO⊗) and F*(G/PL) ⊗ Z[1/2]\n C. The 2-local and integral structure of F*(G/PL) and F*(G/TOP)\nCHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL\n A. The map j* : F*(BO) ⊗ F*(G/TOP) → F*(BTOP)\n B. The embedding of F*(BTOP; Z(2)) in H*(BTOP; Q)\n C. The structure of /Tor⊗Z(2)\nCHAPTER 11. INTEGRALITY THEOREMS\n A. The inclusion F*(BTOP; Z[1/2]) ⊂ H*(BTOP; Q)\n B. Piece-wise linear Hattori-Stong theorems\n C. Milnor\'s criteria for PL manifolds\nCHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; Z/2)\n A. The map B(r×s) : B(G/O) → B^2O×B(G/TOP)\n B. The Leray-Serre spectral sequence for BTOP\nCHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP\n A. The Bockstein spectral sequences for BO, G/TOP and B(G/O)\n B. The spectral sequence for BTOP\n C. The differentials in the subsequence 13.21\nCHAPTER 14. THE TYPES OF TORSION GENERATORS\n A. Torsion generators, suspension and the map η\n B. Torsion coming from relations involving the Milnor manifolds\n C. Applications to the structure of the unoriented bordism rings and\n D. p-torsion in for p odd\nAPPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15\nBIBLIOGRAPHY\nINDEX