VI Contents §3. Graphs on Surfaces and Deleted Products of Graphs 157 §4. Fibrations and Homotopy Groups 161 Chapter 5. Manifolds 181 §1. Definition and Basic Properties 181 §2. Tangent Spaces 199 §3. Embeddings and Immersions 207 §4. The Degree of a Map 220 §5. Morse Theory 239 Chapter 6. Fundamental Groups 257 §1. CW-Complexes 257 §2. The Seifert-van Kampen Theorem 266 §3. Fundamental Groups of Complements of Algebraic Curves 279 Hints and Solutions 291 Bibliography 317 Index 325
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