## Proceedings of the University of Houston Point Set Topology Conference, March 22, 23, 24, 1971 |

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a-space Amer arc components arcwise connected arcwise connected circle-like base of countable bonding maps box product Cartesian product chainable continuum characterized classes of spaces closed subset cluster point Cn(X collection H cone continuous mapping convergence structures Corollary countable order countably compact countably paracompact defined definition denote element of G Embedding Theorem exists finite number following theorem half-ray curve Hausdorff space hence hereditarily homeomorphic homotopy hyperspace implies intersects inverse limit Japan Acad lattice of convergence Lemma limit ordinal locally compact sets locally connected M-space map f Math metric space Moore space multi-valued map Nagata neighborhood non-empty normal open cover open set paracompact spaces plane point set point-countable base positive integer Proc proof prove real curve regular T space satisfies property semi-stratifiable sequence spaces having bases subcollection subcontinua subspace Suppose topological space topology unicoherent union University of Houston upper semi-continuous collection X-bases locally