Two variations of Arhangelskii's inequality vertical bar X vertical bar <= 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.
On the cardinality of n-Urysohn and n-Hausdorff spaces
BONANZINGA, Maddalena;PANSERA, BRUNO ANTONIO
2014-01-01
Abstract
Two variations of Arhangelskii's inequality vertical bar X vertical bar <= 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.File in questo prodotto:
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