On Neutrosophic α(γ,β)-Continuous Functions, Neutrosophic α(γ,β)-Open (Closed) Functions in Neutrosophic Topological Spaces

被引：0

作者：

Kalaivani N. ^{[1
]}

Ur Rahman K.F. ^{[1
]}

Chandrasekaran E. ^{[1
]}

机构：

[1] Department of Mathematics, Vel Tech Rangarajan Sagunthala R & D Institute of Science and Technology, TamilNadu, Chennai

来源：

Neutrosophic Sets and Systems | 2024年 / 64卷

关键词：

neutrosophic; α[!sub](γ; β)[!/sub]-continuous function; β)[!/sub]-homeomorphism; β)[!/sub]-open(closed); function; neutrosophic α[!sub]γ[!/sub]-open set (closed set); neutrosophic γ-open set (closed set);

D O I：

10.5281/zenodo.10729917

中图分类号：

O144 [集合论]; O157 [组合数学（组合学）];

学科分类号：

070104 ;

摘要：

In the present script, we explain the neutrosophic α(γ,β)-continuous function in the neutrosophic topological spaces. We analyze their behaviour; study the various relations and properties existing among them. Further we like to extend the study to neutrosophic α(γ,β)-open function,α(γ,β) -closed function, neutrosophic -(γne,αβ) irresolute functions and neutrosophic α(γ,β)- homeomorphism in the neutrosophic topological spaces. The relationship among them can be studied in detail. The neutrosophic (γne,αβ)-continuous function, neutrosophic (γne,αβ)-open(closed) function, neutrosophic αγ-limit point, neutrosophic αγ-derived set and neutrosophic αγ-neighbourhood point are explained and utilized to obtain various remarkable properties. They are explored through the specified examples. © (2023), (University of New Mexico). All Rights Reserved.

引用

页码：185 / 211

页数：26

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