The factorization of cyclic reduced powers by secondary cohomology operations /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Liulevicius, Arunas, 1934- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1962.
Colección:Memoirs of the American Mathematical Society ; no. 42.
Temas:
Topology.
Topologie.
Topology
Acceso en línea:Texto completo
Tabla de Contenidos:
  • CHAPTER I: INTRODUCTION
  • Section 1. Secondary operations
  • Section 2. The mod p Hopf invariant
  • CHAPTER II: HOPF ALGEBRAS AND RESOLUTIONS
  • Section 1. Basic facts about Hopf algebras
  • Section 2. Examples of Hopf algebras
  • Section 3. The Steenrod algebra and its dual
  • Section 4. The bar and cobar constructions
  • Section 5. Definition of the Steenrod cyclic reduced powers in Ext[sub(G)](Z[sub(p)], Z[sub(p)]
  • Section 6. The Adams spectral sequence for Hopf algebras
  • Section 7. The structure of H*(L [sub(n)])
  • CHAPTER III: INITIAL COHOMOLOGY OF THE STEENROD ALGEBRA OVER Z[sub(p)]
  • Section 1. Determination of H[sup(1)] (A)
  • Section 2. Determination of H[sup(2)](A)
  • Section 3. Relations among the decomposable elements in H[sup(3)](A)
  • CHAPTER IV: SECONDARY COHOMOLOGY OPERATIONS
  • Section 1. A part of the minimal resolution for Z[sub(p)] over A
  • Section 2. Construction of secondary cohomology operations
  • Section 3. The operations \k and R
  • Section 4. The basic secondary operations on K(Z, 2)
  • Section 5, A relation between secondary cohomology operations.
  • CHAPTER V: COHOMOLOGY OF UNIVERSAL EXAMPLES
  • Section 1. A theorem of T. Kudo
  • Section 2. Cohomology of K(Z[sub(p)], 2), p an odd prime
  • Section 3. The universal examples
  • Section 4. The cohomology of E
  • Section 5. Diagonals of elements in H*(E)
  • Section 6. The values of R(a[sup(p)]
  • REFERENCES.

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