On the cardinality of Hausdorff spaces.
Fedeli, A. (1998)
Commentationes Mathematicae Universitatis Carolinae
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Fedeli, A. (1998)
Commentationes Mathematicae Universitatis Carolinae
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Alessandro Fedeli (1994)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, two cardinal inequalities for functionally Hausdorff spaces are established. A bound on the cardinality of the -closed hull of a subset of a functionally Hausdorff space is given. Moreover, the following theorem is proved: if is a functionally Hausdorff space, then .
Juhász, I.
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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.