Search results for " 54C35"

showing 2 items of 2 documents

Finitely fibered Rosenthal compacta and trees

2009

We study some topological properties of trees with the interval topology. In particular, we characterize trees which admit a 2-fibered compactification and we present two examples of trees whose one-point compactifications are Rosenthal compact with certain renorming properties of their spaces of continuous functions.

Pure mathematics54D30 46B03 46E15 54C35 54G12Algebra and Number TheoryApplied MathematicsGeneral Topology (math.GN)Fibered knotMathematics::General TopologyFunctional Analysis (math.FA)Mathematics - Functional AnalysisComputational MathematicsFOS: MathematicsCompactification (mathematics)Geometry and TopologyAnalysisMathematics - General TopologyMathematicsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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Comparing weak versions of separability

2012

Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the differences between these classes while answering questions of Tkachuk [30], Hutchinson [17] and the authors of [8].

Discrete mathematicsSelection principlesGeneral Topology (math.GN)Mathematics::General TopologyCorson compactSeparableSeparable spaceDiscreteFOS: MathematicsPoint (geometry)Geometry and Topology54D65 54B10 54C35Construct (philosophy)MathematicsMathematics - General Topology
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