## A-spaces and countably bi-quotient maps |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction | 5 |

Countably biquotient maps and their two generalizations | 9 |

3 Relatively pseudocompact and lightly compact subsets | 12 |

Copyright | |

9 other sections not shown

### Other editions - View all

### Common terms and phrases

4-spaces accumulation point assume C\An characterizations Clearly closed Bn closure compact space completely regular completes the proof continuum hypothesis converges countable subsets countably bi-quotient map countably bi-sequential countably compact decreasing sequence define determined by countable Diagram 1.2 equivalent Example exists filter base first-countable space following properties follows from Theorem Frechet space Hausdorff space Hence homeomorphic implies inner-closed A-space inner-closed J.-space inner-one A-space inner-one J.-space Lemma Let An\y Let Bn let us show Lindelof locally finite collection mapping properties Martin's Axiom measurable cardinality metric spaces metrizable neighborhood of xn non-measurable cardinality Nu{y open cover open subsets outer-closed outer-open J.-space P-point paracompact space Pick prefixes Proposition 4.4 quotient map regular space relatively lightly compact remains true resp Section sequential sequential space single A-space single J.-space strict A-space strict J.-space super-single Suppose An\y Theorem 6.4 topology vaguely countably bi-quotient X->Y is countably