책 이미지
책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 위상기하학
· ISBN : 9780521055215
· 쪽수 : 372쪽
· 출판일 : 2008-01-21
목차
Introduction; Summary; Part I. Algebra: 1. Algebraic Poincare complexes; 2. Algebraic normal complexes; 3. Algebraic bordism categories; 4. Categories over complexes; 5. Duality; 6. Simply connected assembly; 7. Derived product and Hom; 8. Local Poincare duality; 9. Universal assembly; 10. The algebraic π-π theorem; 11. ?-sets; 12. Generalized homology theory; 13. Algebraic L-spectra; 14. The algebraic surgery exact sequence; 15. Connective L-theory; Part II. Topology: 16. The L-theory orientation of topology; 17. The total surgery obstruction; 18. The structure set; 19. Geometric Poincare complexes; 20. The simply connected case; 21. Transfer; 22. Finite fundamental group; 23. Splitting; 24. Higher signatures; 25. The 4-periodic theory; 26. Surgery with coefficients; Appendices; Bibliography; Index.














