x CONTENTS
5 Ho w likel y i s it ? 20 7
5.1 Motivatio n 20 8
5.1.1 Ide a o f proof 20 9
5.1.2 Wh y do we need th e Baire categor y statement ? . . . . 210
5.2 Proof : C is of first Bair e categor y 210
5.2.1 Findin g a n appropriate C subset 211
5.2.2 A comment abou t th e set of singularities 213
5.3 Proof : C is of Lebesgue measur e zer o 214
5.3.1 A common collisio n fo r k 3 particles 214
5.3.2 Lowe r dimensions , binar y collisions , an d othe r forc e
laws 217
5.4 Likelihoo d o f non-collision singularitie s 22 0
Bibliography 22 3
Index 23 2
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