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Hopf spaces /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York :
North-Holland Pub. Co. ; Distributor for the U.S.A. and Canada, American Elsevier,
1976.
|
| Colección: | North-Holland mathematics studies ;
22. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 59. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Hopf Spaces; Copyright Page; Table of Contents; Introduction; Chapter 0. Notations, conventions and preliminary observations; 0.1 Spaces and maps; 0.2 Homotopies; 0.3 Categories and adjoint maps; 0.4 Pullbacks, pushouts and Eckmann-Hilton duality; 0.5 O-spectra, ring spectra, generalized cohomology; Chapter I. The category of H-spaces; Introduction; 1.1 Basic properties of H-spaces; 1.2 Some special classes of H-spaces; 1.3 The structure of [, H-space]; 1.4 H-deviation and H-homotopy equivalence; 1.5 Change of H-structures and H-maps; Chapter II. Homotopy properties of H-spaces
- Introduction2.1 H-spaces and fibrations; 2.2 H-liftings; 2.3 Postnikov systems; 2.4 Actions, H-actions and principal fibrations; 2.5 HA and HC obstructions; 2.6 Homotopy solvability and homotopy nilpotency; Chapter III. The cohomology of H-spaces; Introduction; 3.1 The Hopf algebra H*(X, Zp); 3.2 Some relations between the algebra H*(X, Zp) and the coalgebra H*(OX, Zp); 3.3 Browder's Bockstein spectral sequence; 3.4 High order operations; Chapter IV. Mod p theory of H-spaces; Introduction; 4.1 p-equivalence and p-universal spaces; 4.2 mod p-homotopy; 4.3 Decomposition of o-equivalences
- 4.4 A study of Ho spaces4.5 Mod P1 H-spaces; 4.6 The genus of an H-space; 4.7 Mixing homotopy types; 4.8 The non classical H-spaces and other applications; Chapter V. Non stable BP resolutions; Introduction; 5.1 Killing homology p-torsion; 5.2 Wilson's B(n, p)'s; 5.3 The groups [, B(n, p)]; 5.4 H-maps into B(n, p); 5.5 Examples: Some properties of BU; 5.6 Non stable BP Adams resolutions; 5.7 Some simple applications; Bibliography; List of symbols; Index of terminology