Open AccessOperation on Fine Topology
Author(s) -
P. L. Powar,
Baravan A. Asaad,
K. Rajak,
Rahul Kushwaha
Publication year - 2019
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v12i3.3449
Subject(s) - mathematics , axiom , beta (programming language) , separation axiom , topology (electrical circuits) , discrete mathematics , pure mathematics , topological space , combinatorics , computer science , programming language , geometry
This paper introduces the concept of an operation $\gamma$ on $\tau_f$. Using this operation, we define the concept of $f_\gamma$-open sets, and study some of their related notions. Also, we introduce the concept of $f_\gamma g$.closed sets and then study some of its properties. Moreover, we introduce and investigate some types of $f_\gamma$-separation axioms and $f_{\gamma\beta}$-continuous functions by utilizing the operation $\gamma$ on $\tau_f$. Finally, some basic properties of functions with $f_\beta$-closed graphs have been obtained.