Search results for "Corson compact"

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Dense metrizable subspaces in powers of Corson compacta

2022

We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about ccc Corson compacta and, as a byproduct, we obtain a new proof of Kunen and van Mill’s characterization of when a Corson compactum supporting a strictly positive measure is metrizable.

Corson compactum dense metrizable subspace countable chain condition Martin's Axiom strictly positive measure.Applied MathematicsGeneral MathematicsProceedings of the American Mathematical Society
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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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