Index of volumes 71-80 (1997-1999)
(1999)
Colloquium Mathematicae
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Displaying similar documents to “Generalized dyadic spaces”
Index of volumes 71-80 (1997-1999)
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...
Remarks on dyadic spaces
R. Engelking, A. Pełczyński (1963)
Colloquium Mathematicae
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On the imbedding of extremally disconnected spaces into bicompacta
Efimov, B. A.
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On the absoluteness of openly-generated and Dugundji spaces
Ingo Bandlow (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Remarks on Cartesian products
Roman Pol, E. Puzio-Pol (1976)
Fundamenta Mathematicae
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Cartesian products and dyadic spaces
R. Engelking (1965)
Fundamenta Mathematicae
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Reflecting topological properties in continuous images
Vladimir Tkachuk (2012)
Open Mathematics
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Given a topological property P, we study when it reflects in small continuous images, i.e., when for some infinite cardinal κ, a space X has P if and only if all its continuous images of weight less or equal to κ have P. We say that a cardinal invariant η reflects in continuous images of weight κ + if η(X) ≤ κ provided that η(Y) ≤ κ whenever Y is a continuous image of X of weight less or equal to κ +. We establish that, for any infinite cardinal κ, the spread, character, pseudocharacter...