This book gives a general outlook on homotopy theory.
Table of Contents
Preface; Introduction; List of symbols; 1. Axioms for homotopy theory and examples of cofibration categories; 2. Homotopy theory in a cofibration category; 3. The homotopy spectral sequences in a cofibration category; 4. Extensions, coverings and cohomology groups of a category; 5. Maps between mapping cones; 6. Homotopy theory of CW-complexes; 7. Homotopy theory of complexes in a cofibration category; 8. Homotopy theory of Postnikov towers and the Sullivan-de Rham equivalence of rational homotopy categories; 9. Homotopy theory of reduced complexes; Bibliography; Index.
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