Preface.
Introduction and Overview.
1. Basics of Extension and Lifting Problems.
2. Up to Homotopy is Good Enough.
3. Homotopy Group Theory.
4. Homology and Cohomology Theories.
5. Examples in Homology and Cohomology.
6. Sheaf and Spectral Theories.
7. Bundle Theory.
8. Obstruction Theory.
9. Applications.
A: Algebra.
B: Topology.
C: Manifolds and Bundles.
D: Tables of Homotopy Groups.
E: Computational Algebraic Topology.
Bibliography.
Index.
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