## Topology for ComputingWritten by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics of topology, assuming no prior exposure to the subject, and moves rapidly up to recent advances in the area, including topological persistence and hierarchical Morse complexes. Algorithms and data structures are presented when appropriate. |

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### Contents

III | 1 |

V | 3 |

VI | 8 |

VII | 10 |

VIII | 11 |

IX | 13 |

X | 14 |

XI | 19 |

XXXIX | 148 |

XL | 150 |

XLI | 153 |

XLII | 157 |

XLIII | 161 |

XLIV | 162 |

XLVI | 166 |

XLVII | 169 |

XII | 23 |

XIII | 32 |

XIV | 37 |

XV | 41 |

XVII | 47 |

XVIII | 53 |

XIX | 60 |

XXI | 70 |

XXII | 79 |

XXIII | 83 |

XXIV | 84 |

XXV | 85 |

XXVI | 86 |

XXVII | 88 |

XXVIII | 90 |

XXIX | 94 |

XXX | 95 |

XXXI | 105 |

XXXII | 116 |

XXXIII | 123 |

XXXIV | 125 |

XXXVI | 128 |

XXXVII | 136 |

XXXVIII | 146 |

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Afra has moved!

As of July 2006, my webpage has moved with me to Dartmouth College. You should be automatically redirected to this page in 5 seconds

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16 Topology for Computing

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