On the cardinality of S(n)-Spaces

被引：2

作者：

Osipov, Alexander V. ^{[1
]}

机构：

[1] Ural Fed Univ, Krasovskii Inst Math & Mech, Ekaterinburg, Russia

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 01期

关键词：

54A25; 54D10; 54D25; Cardinal function; S(n)-space; theta(n)-closure; S(n)-theta-closed; quasi-Menger number;

D O I：

10.2989/16073606.2019.1672112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for a topological space X and any positive integer n, we define the cardinal functions sL(theta(n)) (X), theta(n)-quasi-Menger number qM(theta(n)) (X) and s(n)-quasi-Menger number qM(s(n)) (X). We prove the following statements: For every S(2n)-space X, |X| <= 2(sL) theta (n) (X) kappa(theta (n)) (X).For every S(2n)-space X, |X| <= 2(qM) theta (n) (X) kappa(theta (n)) (X).For every S(2n)-space X, |X| <= 2(qM) s (n) (X) kappa(theta (n)) (X).Similar results are stated for S(2n - 1)-spaces.

引用

页码：121 / 128

页数：8

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