Effective algebraic topology /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schön, Rolf, 1943- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1991.
Colección:Memoirs of the American Mathematical Society ; Volume 92, no. 451.
Temas:
Algebraic topology.
Topologie algébrique.
Algebraic topology
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • 1. A Five-Lemma for Calculations in Homological Algebra
  • I. The Five-Lemma Algorithm
  • II. Spectral Sequences of Filiations
  • III. The Spectral Sequence of a Map
  • 2. Fibrations with Calculable Homology
  • I. Calculating the Base Term
  • II. Calculating the Fiber Term
  • III. Calculating Homology of Fiber Spaces
  • Calculating E[sup(2)]-terms
  • IV. Applications
  • Loop Complexes, Rational Homotopy Groups
  • 3. An Algorithm for Calculating Homotopy Groups
  • I. Recalling K(G, 1)-Complexes
  • II. Calculating K(G, 1)-Complexes
  • III. Calculating Homotopy GroupsHomotopy Groups of Pairs
  • Homology Groups of Iterated Loop Complexes
  • IV. The Horn-Filling Procedure
  • V. Calculating Homology of Postnikov-Complexes
  • 4. The Effective Computability of k-Invariants
  • I. Calculating Cohomology Groups
  • II. The Fundamental Cocycle Algorithm
  • III. Postnikov-Complexes and k-Invariants
  • Application to Abelian Group Complexes
  • IV. k-Invariants of Simple Fibrations
  • V. Equivalence of k-Invariants is Decidable

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