scholarly journals gη - Separation Axioms In Topological Spaces

2021 ◽  
Vol 12 (1S) ◽  
pp. 580-585
Author(s):  
K. Sumathi, Et. al.
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Separation Axioms

In this paper a new class of separation axioms in topological spaces is used in  gη-closed sets. The concept of gη-Tk spaces for k = 0, 1, 2, gη-Dk spaces for k = 0, 1, 2 and gη-Rk spaces for k = 0, 1 and some of their properties are investigated.  

scholarly journals A Class of Separation Axioms in Generalized Topology

2016 ◽  
Vol 4 (2) ◽  
pp. 151-159
Author(s):  
D Anabalan ◽  
Santhi C
Keyword(s):  
Topological Space ◽  
Generalized Topology ◽  
Regular Space ◽  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Separation Axioms ◽  
Generalized Topological Space

The purpose of this paper is to introduce and study some new class of definitions like µ-point closure and gµ –regular space concerning generalized topological space. We obtain some characterizations and several properties of such definitions. This paper takes some investigations on generalized topological spaces with gµ –closed sets and gµ–closed sets.

ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9353-9360
Author(s):  
G. Selvi ◽  
I. Rajasekaran
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Open Set ◽  
Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

On intuitionistic supra pre open sets

2020 ◽  
pp. 619-625
Author(s):  
L. Vidyarani ◽  
M. Jesintha
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class

In this paper,a new class of sets called Intuitionistic Supra Pre open sets are defined in intuitionistic supra Topological spaces. Furthermore,the properties of Intuitionistic Supra Pre open sets and Intuitionistic Supra Pre closed sets are investigated in intuitionistic supra topological spaces.

scholarly journals ON H˝-CLOSED SETS IN TOPOLOGICAL SPACES

2021 ◽  
Vol 9 (1) ◽  
pp. 1421-1424
Author(s):  
A. JOSE LITTLE FLOWER, M. RAJA KALAIVANAN
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class

In this article, we introduce a new class of closed sets in topological spaces namely, H˝-closed and we prove every subset of the digital line is H˝-closed.

A note on nano g #α-closed maps in nano topological spaces

2020 ◽  
pp. 539-548
Author(s):  
S. Visagapriya ◽  
V. Kokilavani
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Closed Sets ◽  
Separation Axioms

The point of this article is to show separation axioms of Nano $g^{\#} \alpha$ closed sets in nano topological space. We moreover present and explore nano $g^{\#} \alpha$-closed maps and additionally consider their principal properties.

Characterizations of \(\theta\)-closed sets using separation axioms in ideal topological spaces

2017 ◽  
Vol 8 (2) ◽  
pp. 159
Author(s):  
Navpreet Singh Noorie ◽  
Nitakshi Goyal
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
Separation Axioms

We will give various characterizations of \(\theta\)-closed sets with respect to an ideal using separation axioms. Also give its relationship with other type of closed sets defined in literature.  

Soft multi generalized regular sets in soft multi topological spaces

2017 ◽  
Vol 8 (1) ◽  
pp. 9
Author(s):  
Alkan ÖZKAN
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Basic Concepts ◽  
Regular Sets ◽  
Regular Closed

Many researchers have identified some of the basic concepts in soft multi topology and many properties were investigated. The main objective of this study is to provide and study a new class of soft multi closed sets like soft multi generalized regular closed (briefly soft mgr-closed) set and to investigated some of its basic properties in soft multi topological spaces. Furthermore, soft multi α-closed set, soft multi pre-closed set, soft multi semi-closed set, soft multi b-closed set and soft multi β-closed set in soft topological spaces are defined.We show that every soft multi regular closed set is soft multi generalized regular closed set.

On ΛIs-sets and the related notions in ideal topological spaces

2013 ◽  
Vol 63 (6) ◽  
Author(s):  
José Sanabria ◽  
Ennis Rosas ◽  
Carlos Carpintero
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Closed Sets ◽  
Separation Axioms

AbstractIn this paper, we define and study the notions of ΛIs-sets, ΛIs-closed sets and I-generalized semi-closed (briefly I-gs-closed) sets by using semi-I-open sets in an ideal topological space. Moreover, we present and characterize two new low separation axioms using the above notions.

scholarly journals Some separation axioms in generalized topological spaces

2011 ◽  
Vol 31 (1) ◽  
pp. 29
Author(s):  
V. Pankajam ◽  
Diraviam Sivaraj
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
Separation Axioms

We give different definitions for g-closed sets, R_0, and R_1 spaces in generalized topological spaces, characterize such spaces and compare with the existing results.

Sign in / Sign up

Export Citation Format

Share Document