A non-Tychonoff relatively normal subspace
Ellen Mir (2007)
Commentationes Mathematicae Universitatis Carolinae
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This paper presents a new consistent example of a relatively normal subspace which is not Tychonoff.
Displaying similar documents to “A characterization of Corson-compact spaces”
A non-Tychonoff relatively normal subspace
A note on the isomorphic classification of spaces of continuous functions defined on intervals of ordinal numbers
M. Labbé (1983)
Fundamenta Mathematicae
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Index of volumes 71-80 (1997-1999)
(1999)
Colloquium Mathematicae
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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...
On the cardinality of n-Urysohn and n-Hausdorff spaces
Maddalena Bonanzinga, Maria Cuzzupé, Bruno Pansera (2014)
Open Mathematics
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Two variations of Arhangelskii’s inequality for Hausdorff X [Arhangel’skii A.V., The power of bicompacta with first axiom of countability, Dokl. Akad. Nauk SSSR, 1969, 187, 967–970 (in Russian)] given in [Stavrova D.N., Separation pseudocharacter and the cardinality of topological spaces, Topology Proc., 2000, 25(Summer), 333–343] are extended to the classes with finite Urysohn number or finite Hausdorff number.