National Journals

Permanent URI for this collectionhttps://dspace.psgrkcw.com/handle/123456789/97

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CHARACTERIZATION OF J-OPEN SETS IN MINIMAL STRUCTURE SPACES
(Malaya Journal of Matematik, 2020-07-04) Deepa, M; Surekha, S S
The aim of this paper is to introduce the notion of m-j open sets in minimal structure spaces together with its corresponding interior and closure operators. Furthermore, we investigated the basic properties of the sets and studied their relationship with other existing sets. Moreover, the minimal structure properties of j-border, j-frontier and j-exterior of the sets have been discussed.
AN ELEMENTARY APPROACH ON HYPERCONNECTED SPACES
(Turkish Journal of Computer and Mathematics Education, 2021-04-20) Sasikalaa, D; Deepa, M
This paper aims to establish a new notion of hyperconnected spaces namely semi j hyperconnected spaces by using semi j open sets. The relation between the existing spaces are also discussed. We also investigate some elementary properties of semi j hyperconnected spaces.
A NEW PERSPECTIVE OF NEUTROSOPHIC HYPERCONNECTED SPACES
(University of New Mexico, 2022) Sasikala, D; Deepa, M
The focus of this article is to introduce a new class of sets namely neutrosophic semi j-open and neu- trosophic semi j-closed sets in neutrosophic topological space. Using this, we present the new spaces neutrosophic hyperconnected and neutrosophic semi j-hyperconnected. Also we explore the characteristics of neutrosophic semi j-open sets, neutrosophic semi j-closed set, neutrosophic hyperconnectedness. Finally we examine the properties of neutrosophic semi j-hyperconnectedness with some existing sets.
A NOTE ON CONNECTEDNESS IN TOPOLOGICAL SPACES
(Advances in Mathematics: Scientific Journal, 2020) Sasikala, D; Deepa, M
In this paper, we introduce two new types of connectedness namely j-connectedness and 1 2 j-connectedness in a topological space. Also, we discuss some of their basic properties and analyze the characterization using theorems.