论双拓扑空间中新型连续性的分解

H. Al-Malki, S. Al-Blowi
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引用次数: 0

摘要

在许多论文中,研究了拓扑空间中新的集合类,然后通过这些新的集合类研究了任意两个拓扑空间之间连续性的概念(如果Y的每一个开集的逆像在X上是开的,则从X到Y的函数是连续的)。本文还在双拓扑空间[1]中引入了pj-b-预开集、pj-b-B集、pj-b-t集、pj-b-半开集和pj-sb-广义闭集这类新的集合,[1]是一个在其上定义了两个拓扑的集合,然后通过这个集合研究了连续性的概念,并介绍了一些通过这个集合研究双拓扑空间中连续性分解的理论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Decomposition of New Kinds of Continuity in Bitopological Space
In many papers, new classes of sets had been studied in topological space, then the notion of continuity between any two topological spaces (a function from X to Y is continuous if the inverse image of each open set of Y is open in X) is studied via this new classes of sets. Here the authors also introduce new classes of sets called pj-b-preopen, pj-b-B set, pj-b-t set, pj-b-semi-open and pj-sb-generalized closed set in bitopological space [1] which is a set with two topologies defined on it, then they study the notion of continuity via this set and introduce some of the theories which are studying the decomposition of continuity via this set in bitopological space.
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