TOPO 72 - General Topology and its Applications: Second Pittsburgh International Conference, December 18-22, 1972

ISBN-13: 9783540067412 / Angielski / Miękka / 1974 / 656 str.

R.A. Alo;R.W. Heath;J. Nagata

Opis

Sponsored by Carnegie-Mellon University and the University of Pittsburgh

Spis treści

The works of J. de groot.- Topologies induced by banch function spaces.- Some properties involving base axioms and metrizability.- On ?-embedded sets in topological spaces.- Some applications of pointwise collectionwise normality.- Algebraic compactness and its relations to topology.- Spaces with a G?-diagonal.- On the theory of Hilbert cube manifolds.- The hyperspace of subcontinua of a peano continuum.- On Stone-Weierstrass spaces.- Coincidence of small and large inductive dimension.- Basic refinements of the category of uniform spaces.- Sequential spaces and quasi-perfect mappings.- Expansions of mappings.- Vector lattices of uniformly continuous functions and some categorical methods in uniform spaces.- Metrization of closed images of metric spaces.- Representation of spaces.- Some remarks on extension theorems in monotonically normal spaces.- A dozen small uncountable cardinals.- Limit-operators and reflective subcategories.- On perfect images of ordinals.- Shape theory and topological groups.- On countably paracompact spaces.- A universal one-dimensional metric space.- Ordinals and paracompactness in ordered spaces.- Another inductive dimension.- Regular maps and metrization.- Special bases for topological spaces.- A characterization of compact scattered spaces through chain limits; (chain compact spaces).- Recent results on E-compact spaces.- Recent developments of general topology in Japan.- Some recent developments on repletions and stone-?ech compactifications of O-dimensional spaces.- Development classes: An approach to perfectness, reflectiveness and extension problems.- An axiomatic characterization of covering dimension in metrizable spaces.- The p-adic topology on Abelian groups.- On completeness conditions and the baire property in moore spaces.- Adequacy in topology and uniform spaces.- Complete uniform spaces.- Very flat spaces of continuous functions.- Inverse limits and near-homeomorphism techniques in hyperspace problems.- A simple topological proof that the underlying set functor for compact spaces is monadic.- Note on a problem of Katetov.- A 3-dimensional absolute retract.- On the theorem of Morita and Hanai, and Stone.- Some recent results on expandable spaces.- On characterizations of perfect morphisms and epireflective hulls.- P-points in ?N-N, normal non-metrizable moore spaces, and other problems of hausdorff.- Strong O-dimensionality of certain n-compact spaces.- Free topological groups.- Extensions of integer-valued maps and N-compact spaces.- Some recent results in the theory of [a,b]-compactness.- Topological spaces that are ?-favorable for a player with perfect information.- Completeness and topologically uniformizing structures.- A technique for reducing certain covers on certain L.O.T.S. and their products.- Filter space monads, regularity, completions.- Directed ?-structures and ?-compact spaces.- On covering and countable covering conditions.