Fully illustrated and rigorous in its approach, this is a comprehensive account of geometric techniques for studying the topology of smooth manifolds. Little prior knowledge is assumed, giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.
Fully illustrated and rigorous in its approach, this is a comprehensive account of geometric techniques for studying the topology of smooth manifolds. Little prior knowledge is assumed, giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.
C. T. C. Wall is Emeritus Professor in the Division of Pure Mathematics at the University of Liverpool. During his career he has held positions at the University of Oxford and the University of Cambridge and has been invited as a major speaker to numerous conferences in Europe, the USA and South America. He was elected a Fellow of the Royal Society in 1969.
Inhaltsangabe
Introduction 1. Foundations 2. Geometrical tools 3. Differentiable group actions 4. General position and transversality 5. Theory of handle decompositions 6. Immersions and embeddings 7. Surgery 8. Cobordism Appendix A. Topology Appendix B. Homotopy theory References Index of notation Index.
Introduction 1. Foundations 2. Geometrical tools 3. Differentiable group actions 4. General position and transversality 5. Theory of handle decompositions 6. Immersions and embeddings 7. Surgery 8. Cobordism Appendix A. Topology Appendix B. Homotopy theory References Index of notation Index.
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