## Introduction to Ramsey Spaces (AM-174)Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory. |

### What people are saying - Write a review

### Contents

1 | |

3 | |

Chapter 2 Semigroup Colorings | 27 |

Chapter 3 Trees and Products | 49 |

Chapter 4 Abstract Ramsey Theory | 63 |

Chapter 5 Topological Ramsey Theory | 93 |

Chapter 6 Spaces of Trees | 135 |

Chapter 7 Local Ramsey Theory | 179 |

Chapter 8 Infinite Products of Finite Sets | 219 |

Chapter 9 Parametrized Ramsey Theory | 237 |

Appendix | 259 |

271 | |

279 | |

285 | |