几个基本拓扑概念的统一理论
A Unified Theory on Some Basic Topological Concepts
摘要：
包括我在内的几位数学家研究了一般拓扑空间和模糊拓扑空间中的某些统一。例如，在我们的早期工作中，利用拓扑空间上的运算，我们试图统一一些类似的概念，如函数的连续性、开性、闭性、紧性、滤子收敛性、图的闭性、可数紧性和Lindelof性质。为了得到进一步的统一，本文研究了$ϕ_{1,2}$ -紧性以及$ϕ_{1,2}$ -紧性、滤子和$ϕ_{1,2}$ % -闭包算子之间的关系.
英文摘要：
Several mathematicians, including myself, have studied some unifications in general topological spaces as well as in fuzzy topological spaces. For instance in our earlier works, using operations on topological spaces, we have tried to unify some concepts similar to continuity, openness, closedness of functions, compactness, filter convergence, closedness of graphs, countable compactness and Lindelof property. In this article, to obtain further unifications, we will study $ϕ_{1,2}$-compactness and relations between $ϕ_{1,2}$-compactness, filters and $ϕ_{1,2}$% -closure operator.
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。
