TOPO 72 - General Topology and its Applications

Second Pittsburgh International Conference, December 18-22, 1972

R.A. Alo, R.W. Heath, J. Nagata (Herausgeber)

Buch | Softcover
XVI, 656 Seiten
1974 | 1974
Springer Berlin (Verlag)
978-3-540-06741-2 (ISBN)

Lese- und Medienproben

TOPO 72 - General Topology and its Applications -
48,10 inkl. MwSt
Sponsored by Carnegie-Mellon University and the University of Pittsburgh

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.

Erscheint lt. Verlag 24.5.1974
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XVI, 656 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 930 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte compactification • Compact space • function space • Homeomorphism • metrizable • Topologie • Topology
ISBN-10 3-540-06741-8 / 3540067418
ISBN-13 978-3-540-06741-2 / 9783540067412
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