Generalized dyadic spaces
Murray Bell (1985)
Fundamenta Mathematicae
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Murray Bell (1985)
Fundamenta Mathematicae
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Roman Pol, E. Puzio-Pol (1976)
Fundamenta Mathematicae
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Mrowka, S. (1970)
Portugaliae mathematica
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K. Alster, Roman Pol (1980)
Fundamenta Mathematicae
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Władysław Kulpa, Marian Turzański (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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R. Engelking (1965)
Fundamenta Mathematicae
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R. Engelking (1966)
Fundamenta Mathematicae
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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...