论文标题
各种类型的连续性及其在理想拓扑空间中的解释
Various types of continuity and their interpretations in ideal topological spaces
论文作者
论文摘要
本文是从\ cite {njampavcont}开始保留理想拓扑空间中连续性的工作的延续。我们将处理$θ$ - 连续性和弱连续性，并在理想的拓扑空间中进行翻译。作为这些结果的结果，我们将证明，如果拓扑是由$θ$ - 开放的集合生成的，每个$θ$连续的函数都是连续的，我们将举一个弱连续函数的示例，这不是$τ_θ$ - 连续性。这将完成连续，$τ_θ$ - 连续，$θ$ - 连续，弱连续和微弱连续功能之间的关系图。
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.
