## Topology |

### What people are saying - Write a review

its good book for basics

### Contents

Set Theory and Logic | 3 |

Topological Spaces and Continuous Functions | 75 |

Basis for a Topology | 78 |

Copyright | |

75 other sections not shown

## Topology |

User Review - Flag as inappropriate

its good book for basics

Set Theory and Logic | 3 |

Topological Spaces and Continuous Functions | 75 |

Basis for a Topology | 78 |

Copyright | |

75 other sections not shown

abelian group axiom Baire space basis element belongs bijective box topology called choose closed sets closure collection compact Hausdorff space compact subspace compactification Consider contains continuous functions continuous map converges Corollary countable countable basis covering map covering space define definition denote disjoint open sets edge end points equals equation Example Exercises exists fact Figure fundamental group Given Hausdorff space Hint homeomorphic identity map imbedding indexed family induces infinite injective interval isomorphism labelling scheme Lemma Let G limit point locally compact locally finite loop metric space neighborhood nonempty open covering open sets order topology paracompact path homotopy plane polygonal region positive integers product topology Proof quotient map quotient space real numbers satisfies sequence Show simply connected smallest element subcollection subset subspace topology Suppose surjective theorem topological space torus trivial uncountable union upper bound well-ordered set