## Introduction to General Topology |

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good

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Excellent. Characterisation of Urisohn Lemma is marvelous. A detailed explanation is given to lead to research. Very good book

### Contents

Logical Warmup | 1 |

Contents | 3 |

Preliminaries | 26 |

Motivation for Topology | 61 |

Topological Spaces | 80 |

Basic Concepts | 104 |

Spaces with Special Properties | 132 |

Separation Axioms | 159 |

Nets and Filters | 228 |

Compactness | 254 |

Complete Metric Spaces | 281 |

Cytegory Theory | 309 |

Uniform Spaces | 339 |

Selected Topics | 364 |

Miscellaneous Exercises | 394 |

401 | |

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### Common terms and phrases

argument axioms base bijection bounded called Cauchy sequence Chapter characterisation closed sets closed subset closure cluster point compact space compactification concept continuous function converges Corollary defined definition denoted dense discrete space element empty set equivalence relation euclidean spaces example filter finite intersections follows functor geometry given Guide to Literature Hausdorff space hence Hint homeomorphic implies indexed family lemma Lindeloff locally connected logical mathematics metric space morphism mutually disjoint neighbourhood non-empty notation Notes and Guide objects open balls open cover open interval open sets open subset partially ordered product topology proof Proposition Prove pseudo-metric quotient space reader real line real numbers relative topology result second countable statement sub-base subspace suppose T2 space theorem tion topological product topological space trivial Tychonoff Tychonoff space uniform space union unique unit interval usual topology