理想拓扑空间中的各种连续性及其解释
Various types of continuity and their interpretations in ideal topological spaces
摘要：
本文是\cite{njampavcont}关于理想拓扑空间保持连续性的工作的继续。我们将讨论$θ$ -连续性和弱连续性，并给出它们在理想拓扑空间中的平移。作为这些结果的结果，我们将证明每个$θ$ -连续函数是连续的，如果拓扑是由$θ$ -开集生成的，并且我们将给出一个弱连续函数不是$τ_θ$ -连续的例子。这将完成连续，$τ_θ$ -连续，$θ$ -连续，弱连续和微弱连续函数之间的关系图。
英文摘要：
This paper is a continuation of work started in \cite{njampavcont} on preserving continuity in ideal topological spaces. We will deal with $θ$-continuity and weak continuity and give their translations in ideal topological spaces. As consequences of those results, we will prove that every $θ$-continuous function is continuous if topologies are generated by $θ$-open sets and we will give an example of weakly continuous function which is not $τ_θ$-continuous. This will complete the diagram of relations between continuous, $τ_θ$-continuous, $θ$-continuous, weakly continuous and faintly continuous functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
