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.

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.

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.

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.

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.

scholarly journals PS-Regular Sets in Topology and Generalized Topology

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Ankit Gupta ◽  
Ratna Dev Sarma
Keyword(s):  
Generalized Topology ◽  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Regular Sets ◽  
Regular Open ◽  
Regular Closed

We define and study a new class of regular sets calledPS-regular sets. Properties of these sets are investigated for topological spaces and generalized topological spaces. Decompositions of regular open sets and regular closed sets are provided usingPS-regular sets. Semiconnectedness is characterized by usingPS-regular sets.PS-continuity and almostPS-continuity are introduced and investigated.

scholarly journals On generalized δω−closed sets

2020 ◽  
Vol 39 (6) ◽  
pp. 1415-1435
Author(s):  
Amani Rawshdeh ◽  
Heyam H. Al-Jarrah ◽  
Eman M. Alsaleh ◽  
Khalid Y. Al-Zoubi
Keyword(s):  
Topological Spaces ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class

A new class of sets called generalized δω−closed sets in topological spaces is introduced and some of their basic properties are investigated. This new class of sets lies between the class of δω−closed and generalized closed sets in (X, τ ). Moreover, we provide several relatively new decompositions of continuity. Several examples are provided to illustrate the behavior of the new sets.

scholarly journals Weakly b-Closed Sets and Weakly b-Open Sets based of Fuzzy Neutrosophic bi-Topological Spaces

2020 ◽  
pp. 34-43
Author(s):  
Fatimah M. .. ◽  
◽  
◽  
Sarah W. Raheem
Keyword(s):  
The Other ◽  
Topological Spaces ◽  
Neutrosophic Sets ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Other Hand ◽  
Definition Of

In this paper, we present and study some of the basic properties of the new class of sets called weakly b-closed sets and weakly b- open sets in fuzzy neutrosophic bi-topological spaces. We referred to some results related to the new definitions, which we taked the case of equal in the definition of b-sets instead of subset. Then, we discussed the relations between the new defined sets by hand and others fuzzy neutrosophic sets which were studied before us on the other hand on fuzzy neutrosophic bi-topological spaces. Then, we have studied some of characteristics and some relations are compared with necessary examples.

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 GΗ-Closed Sets in Topological Spaces

2019 ◽  
Vol 8 (3) ◽  
pp. 8863-8866
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class

In this paper a new class of sets namely gη-closed sets in the light of η-open sets in topological spaces are introduced. Further some of their characterizations are investigated

Sign in / Sign up

Export Citation Format

Share Document