TY  - BOOK
AU  - Schön,Rolf
TI  - Effective Algebraic Topology
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408770
AV  - QA612 -- .S36 1991eb 
U1  - 514/.2 
PY  - 1991///
CY  - Providence
PB  - American Mathematical Society
KW  - Algebraic topology
KW  - Electronic books
N1  - Intro -- 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 Groups -- Homotopy 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113754
ER  -