## Treatise on set topology, Volume 1 |

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### Contents

Algebra op subsets op a set pp 111 | 1 |

Rings and fields of sets pp 1234 | 12 |

Algebra of partial order pp 3552 | 35 |

Copyright | |

9 other sections not shown

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### Common terms and phrases

a-ideal A-ring belongs boolean algebra boundary set bourhood Cauchy sequence closed sets closure function cogredient compact complement complete lattice complete metrical space contact point continuous functional continuous map convergence scheme corresponding countable open base decreasing sequence defined definition denote dense set dense-in-itself distributive lattice eaoh element equivalent exist finite covering finite number follows Hausdorff space Hence Henoe homeomorphic implies infinite interior intersection lattice product lattice sum limit neighbourhood system non-dense set normal null set oovering open covering open domain open interval open neighbourhood open set containing open set G open subset ordinal P-space partially ordered partially ordered set positive number postulates principal ideals Prove rational numbers real number space relative topology relatively closed subset residue classes resolution resolution-space satisfies set-field shew sinoe spaoe spheres stronger strongly separable suoh theorem topological product topological space topology totally bounded TVspace union weakly separated well-ordered whioh