中性软拓扑空间中g -连续性的解释

H. Cakalli, A. Acikgoz, F. Esenbel
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引用次数: 0

摘要

不仅在拓扑学中,而且在数学的其他一些分支中,科学家们一直把顺序连续性的概念作为一门不可或缺的学科。Connor和Grosse-Erdmann通过在所有实数序列的向量空间的线性子空间上定义的任意线性泛函G而不是lim给出了实数函数的这个概念。然后,用定义在所有X值序列群的子群上的任意加性函数代替线性泛函G,将这一概念应用于拓扑群X。在此基础上,给出了广义情况下的可选定理,并给出了实函数尚未得到的各种定理。在这项研究中,我们提出了中性软g -连续性,并分析了其在中性软拓扑空间中的性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An interpretation of G-continuity in neutrosophic soft topological spaces
Scientists have always adopted the concept of sequential continuity as an indispensable subject, not only in Topology but also in some other branches of Mathematics. Connor and Grosse-Erdmann gave this concept for real functions by using an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences instead of lim. Afterwards, this concept were adapted to a topological group X by replacing a linear functional G with an arbitrary additive function defined on a subgroup of the group of all X-valued sequences. Furthermore, alternative theorems in generalized setting were given and varied theorems that had not been achieved for real functions were presented. In this investigation, we offer neutrosophic soft G-continuity and analyze its nature in neutrosophic soft topological spaces.
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