关于集合II的$θ$ -闭壳的基数
On the cardinality of the $θ$-closed hull of sets II
摘要:
本文的研究是空间子集的闭壳$θ$的基数研究的继续。利用$θ$ -双紧性(\cite{Ca-Ko})、有限$θ$-双紧性(\cite{Ca-Ca-Pa-Ts})和$θ$ -双紧性小数(\cite{Ca-Ca-Pa-Ts})空间的基数函数,得到了$θ$ -子集闭壳的基数的新的上界.在最后一节,空间的例子,包括一个回答问题提出的\cite{Bo-Ca-Ma}和\cite{Bo-Pa}。
英文摘要:
The research in this paper is a continuation of the investigation of the cardinality of the $θ$-closed hull of subsets of spaces. This research obtains new upper bounds of the cardinality of the $θ$-closed hull of subsets using cardinal functions of $θ$-bitightness (\cite{Ca-Ko}), finite $θ$-bitightness (\cite{Ca-Ca-Pa-Ts}) and $θ$-bitightness small number (\cite{Ca-Ca-Pa-Ts}) of spaces. In the final section, examples of spaces are presented including one that answers a question posed in \cite{Bo-Ca-Ma} and \cite{Bo-Pa}.
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