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Mathematical World • Volume 4 Intuitive Topology V. V. Prasolov Translated from the Russian by A. Sossinsky American Mathematical Society

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Mathematical World • Volume 4

IntuitiveTopology

V. V. Prasolov

Translated from the Russian byA. Sossinsky

American Mathematical Society

Table of Contents

Foreword vii

Chapter 1. Deformations 1

Chapter 2. Knots and Links 7

Chapter 3. Spans of Knots and Links 15

Chapter 4. A Knot Invariant 29

Chapter 5. Homeomorphisms 33

Chapter 6. Vector Fields on the Plane 45

Chapter 7. Vector Fields on Two-Dimensional Surfaces 63

Chapter 8. Fixed Point Free and Periodic Homeomprphisms 71

Chapter 9. Two-Dimensional Surfaces 81

References 93

Index 95