A proof (involving Martin's axiom) of a partition relation
J. Baumgartner, A. Hajnal (1973)
Fundamenta Mathematicae
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Displaying similar documents to “Αll -dense sets of reals can be isomorphic”
A proof (involving Martin's axiom) of a partition relation
Boolean algebras in which every chain and antichain is countable
James Baumgartner, Péter Komjáth (1981)
Fundamenta Mathematicae
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Between Martin's Axiom and Souslin's Hypothesis
Kenneth Kunen, Franklin Tall (1979)
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Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
J. Roitman (1979)
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Stanislav Krajči, Peter Vojtáš (1995)
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Ryszard Frankiewicz (1985)
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Murray Bell (1981)
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Tightness and π-character in centered spaces
Murray Bell (1999)
Colloquium Mathematicae
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We continue an investigation into centered spaces, a generalization of dyadic spaces. The presence of large Cantor cubes in centered spaces is deduced from tightness considerations. It follows that for centered spaces X, πχ(X) = t(X), and if X has uncountable tightness, then t(X) = supκ : ⊂ X. The relationships between 9 popular cardinal functions for the class of centered spaces are justified. An example is constructed which shows, unlike the dyadic and polyadic properties, that the...