中性拓扑空间中的g -连续性

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

摘要

连续性是许多数学学科中最重要的概念之一。在某些情况下,连续性的一般概念被顺序连续性所取代。Connor和Grosse-Erdmann用一个在所有实数序列的向量空间的线性子空间上的线性泛函G代替了实数函数序列连续性定义中的lim。通过用定义在所有X值序列群的子群上的加性函数代替线性泛函G,将其定义推广到拓扑群X。本文引入中性g -连续性,研究其在中性拓扑空间中的性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On G-continuity in neutrosophic topological spaces
Continuity is one of most important concepts in many mathematical disciplines. In some situations general notion of continuity is replaced by sequential continuity. Connor and Grosse-Erdmann replaced lim in the definition of sequential continuity of real functions by a linear functional G on a linear subspace of the vector space of all real sequences. Their definition was extended to topological group X by replacing a linear functional G with an additive function defined on a subgroup of the group of all X-valued sequences. In this paper we introduce neutrosophic G-continuity and investigate its properties in neutrosophic topological spaces.
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