关于n-Urysohn和n-Hausdorff空间的基数性

Central European Journal of Mathematics Pub Date : 2014-02-01 DOI:10.2478/s11533-013-0339-0

M. Bonanzinga, M. V. Cuzzupè, B. Pansera

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引用次数: 4

摘要

关于Hausdorff X的Arhangelskii不等式$$\left| X \right| \leqslant 2^{\chi (X) - L(X)}$$的两种变化[j] . Arhangel 'skii A.V，具有可数性第一公理的双紧性的幂。阿卡德。[Stavrova D.N.，分离伪特征和拓扑空间的基数，拓扑学报，2000,25(夏季)，333-343]给出的Nauk ssr, 1969,187,967 - 970(文)]推广到有限Urysohn数或有限Hausdorff数的类。

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

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.

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来源期刊

Central European Journal of Mathematics 数学-数学

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审稿时长

3-8 weeks