## Proceedings |

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### Contents

CHAINS OF METRIC TOPOLOGIES | 2 |

COMPLETING MOORE SPACES | 22 |

CONES OVER SOLENOIDS CANNOT BE EMBEDDED IN E3 | 36 |

11 other sections not shown

### Common terms and phrases

2-manifolds Amer arcwise connected Arizona State University bicompact Borel Cantor set cardinal chain characterization closed sets closed subset closure compact Hausdorff compact metric space compact space complete Moore space completely regular conjecture contains continuous image convergence convex metric Corollary countable defined Definition denote dimension functions disjoint elements equivalent example exists following conditions h-relation Hausdorff space Hence homeomorphic implies induced intersection inverse limit k-space Lemma light open mapping linearly locally connected Math maximally resolvable metric topology natural number neighborhood nested development normal Moore space open covering open refinement open set open subset paracompact spaces positive integer Proc Proposition proved proximity space quasi-developable space question R-enlarged R-uniformity relation satisfies Axiom semi-metric spaces semi-metrizable semi-stratifiable space semi-uniformity semicomplete Moore space sequence Souslin space is metrizable standard map stratifiable spaces structure subcontinuum submetrizable subspace Suppose topological space uniform space union weak cut point