A New Class of Regular Weakly Closed Sets and Functions Using Grills

2014 ◽  
Vol 5 (3) ◽  
pp. 226-237
Author(s):  
A. Vadivel ◽  
◽  
P. Revathi
Keyword(s):  
Closed Sets ◽  
New Class ◽  
Weakly Closed

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 New approach of ideal topological generalized closed sets

2013 ◽  
Vol 31 (2) ◽  
pp. 191
Author(s):  
Chinnapazham Santhini ◽  
M. Lellis Thivagar
Keyword(s):  
Continuous Functions ◽  
New Approach ◽  
Closed Sets ◽  
New Class

In this paper,we introduce and investigate the notions of Iˆω -closed sets andI ˆω -continuous functions,maximal Iˆω -closed sets and maximal Iˆω -continuous functionsin ideal topological spaces.We also introduce a new class of spaces calledMTˆω -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 Remarks on Pre-I-Regular Pre-I-Open Sets

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
R. Sajuntha
Keyword(s):  
Equivalence Relation ◽  
Closed Sets ◽  
New Class ◽  
Fundamental Properties ◽  
Open Set ◽  
Regular Sets

We deal with the new class of pre-I-regular pre-I-open sets in which the notion of pre-I-open set is involved. We characterize these sets and study some of their fundamental properties. We also present other notions called extremally pre-I-disconnectedness, locally pre-I-indiscreetness, and pre-I-regular sets by utilizing the notion of pre-I-open and pre-I-closed sets by which we obtain some equivalence relation for pre-I-regular pre-I-open sets.

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