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On the cardinality of n-Urysohn and n-Hausdorff spaces

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Bonanzinga M., Cuzzupé M., Pansera B.

Open Mathematics

2014

tom 12

nr 2

330-336

Two variations of Arhangelskii’s inequality $$\left| X \right| \leqslant 2^{\chi (X) - L(X)}$$ 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.

Ograniczanie wyników

1 Open Mathematics

1 Bonanzinga M.

1 Cuzzupé M.

1 Pansera B.

1 2014

Wyniki wyszukiwania

On the cardinality of n-Urysohn and n-Hausdorff spaces