## Knots and links |

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#### Review: Knots and Links

User Review - Dustin Tran - GoodreadsMath 199 - Geometric Topology; Rob Kirby. Ch. 1-5. Somewhat hard to follow and old, ugly typeset font. The formatting is pretty ugly as well, but the concepts are there regardless. Because of the few textbooks on the subject, this book still remains as one of the standard classics. Read full review

### Contents

CHAPTER ONE INTRODUCTION l | 2 |

CHAPTER TWO CODIMENSION ONE AND OTHER MATTERS | 8 |

B The Jordan curve theorem and chord theorem | 17 |

Copyright | |

37 other sections not shown

### Common terms and phrases

2-sphere 3-manifold A-module abelian group Alexander invariant Alexander polynomial ambient isotopy annulus automorphism ball bicollared boundary link bounds branch set branched cover chapter classical knot codimension coefficients compact components compute connected sum consider construction COROLLARY covering space defined DEFINITION Dehn's Lemma denote diagram disjoint disk embedding equivalent example EXERCISE fibration fibred knot foliation free group fundamental group genus handlebody higher dimensions higher-dimensional homeomorphism homotopically unlinked homotopy type horned sphere inclusion homomorphism inequivalent infinite cyclic cover injective integer intersection isomorphic knot group knot or link knot type knots and links lens space linking number locally flat longitude loop manifold meridian n-ball nontrivial pair picture Poincare PROOF PROPOSITION relations REMARK Seifert matrix Seifert surface Show simple closed curve simply-connected slice knot solid torus subgroup subset topological tori torus knot trefoil trivial knot tubular neighbourhood twist unknotted Verify Wirtinger presentation zero