## Collected papers: The fundamental group |

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### Contents

Introduction | 3 |

Isotopy of links 1957 | 27 |

Most knots are wild 1964 | 55 |

Copyright | |

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### Common terms and phrases

2-sphere 3-manifold abelian group algebraic Amer assertion automorphism boundary cell chain complex choose circle bundle clearly cobordism coefficient cohomology compact completes the proof complex numbers component conjugate consider construct corresponding cyclic group defined deformation retract denote diffeomorphic differential dimension direct sum duality theorem element equal Euclidean exact sequence example finite group finite order fixed points free module function fundamental group given group ring h-cobordism Hence homology groups homomorphism homotopy equivalence homotopy type identity induced integer intersection isomorphic isotopy J. H. C. Whitehead kernel knot types Lemma lens space link group linking number loop manifold matrix meridian Milnor multiple neighborhood normal subgroup obtain orientation pair piecewise polynomial Princeton proof of Theorem proved quotient Reidemeister relations Rham satisfies simple homotopy singular SL(n slice knot sphere topological torsion invariant trivial universal covering space Wh(II Whitehead group Whitehead torsion zero