## An introduction to general topology |

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### Contents

Introduction | 1 |

The Theorem of DeMorgan and the Cartesian | 8 |

Relations | 18 |

Copyright | |

31 other sections not shown

### Common terms and phrases

7Vspace a e X iff a r,-space according to Theorem Axiom basic open set Bd(A belongs bijective called Chapter closed set closed subset cluster point cofinite topology collection of subsets compact space connectivity function consider continuous function converges countably compact define denoted discrete topology distinct points elements equivalence relation exercise exists an open finite number finite subcover follows Give an example Hausdorff space hence homeomorphism hypothesis iff there exists implies indexed family indexing set injective function intersection JJ Xa left ray topology Let f locally connected metric space natural number open cover open interval open set open set containing open subset point a e point x e product space product topology projection function proof is left proof of Theorem Prove Theorem quotient space sequence standard topology subbase subspace topology suppose Theorem 1.7 tion topological property topological space union x e Rl