scholarly journals A Note on Some Generalized Closed Sets in Bitopological Spaces Associated to Digraphs

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
K. Kannan
Keyword(s):  
Graph Theory ◽  
Short Communication ◽  
Topological Spaces ◽  
Closed Sets ◽  
Bitopological Spaces ◽  
The Relationship

Many investigations are undergoing of the relationship between topological spaces and graph theory. The aim of this short communication is to study the nature and properties of some generalized closed sets in the bitopological spaces associated to the digraph. In particular, some relations between generalized closed sets in the bitopological spaces associated to the digraph are characterized.

scholarly journals Remarks on soft omega-closed sets in soft topological spaces

2014 ◽  
Vol 33 (1) ◽  
pp. 181
Author(s):  
Nirmala Rebecca Paul
Keyword(s):  
Compact Space ◽  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
The Relationship

The paper introduces soft omega-closed sets in soft topological spaces and establishes the relationship between other existing generlised closed sets in soft topological spaces. It derives the basic properties of soft omega-closed sets. As an application it proves that a soft omega-closed set in a soft compact space is soft compact.

scholarly journals Some Results of τ1τ2-δ Semiconnectedness and Compactness in Bitopological Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-4
Author(s):  
M. Arunmaran ◽  
K. Kannan
Keyword(s):  
Topological Spaces ◽  
Bitopological Space ◽  
Bitopological Spaces ◽  
The Relationship

We are going to establish some results of τ1τ2-δ semiconnectedness and compactness in a bitopological space. Besides, we will investigate several results in τ1τ2-δ semiconnectedness for subsets in bitopological spaces. In particular, we will discuss the relationship related to semiconnectedness between the topological spaces and bitopological space. That is, if a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected, then the topological spaces (X,τ1) and (X,τ2) are δ-semiconnected. In addition, we introduce the result which states that a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected if and only if X and ϕ are the only subsets of X which are τ1τ2-δ semiclopen sets. Moreover, we have proved some results in compactness also. Altogether, several results of τ1τ2-δ semiconnectedness and compactness in a bitopological space have been discussed.

scholarly journals Binary Regular ^ Generalized Closed Sets In Binary Topological Spaces

2019 ◽  
pp. 279-282
Author(s):  
D. Savithiri ◽  
C. Janaki
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
The Relationship

In this article, we introduce binary regular ^ generalized closed sets <strong>(shortly µ<sub>b</sub> r^g-closed sets) </strong>in binary topological spaces. Also we examine some of its properties. Furthermore we study the relationship between these binary r^g-closed sets with other binary closed sets in binary topological spaces.

ON ir-CLOSED SETS IN TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (5) ◽  
pp. 2573-2582
Author(s):  
A. M. Anto ◽  
G. S. Rekha ◽  
M. Mallayya
Keyword(s):  
Topological Spaces ◽  
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 CONTRA SOFT ARS CLOSED SETS IN SOFT TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (3) ◽  
pp. 921-926
Author(s):  
P. Anbarasi Rodrigo ◽  
K. Rajendra Suba
Keyword(s):  
Topological Spaces ◽  
Closed Sets

GENERALIZED FUZZY Z CLOSED SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (4) ◽  
pp. 2161-2166
Author(s):  
S. D. Sathaananthan ◽  
A. Vadivel ◽  
S. Tamilselvan ◽  
G. Saravanakumar
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
Fuzzy Topological Spaces

$\eta^{\ast \ast}$-CLOSED SETS IN TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9031-9036
Author(s):  
E. Subha ◽  
D. Vidhya
Keyword(s):  
Topological Spaces ◽  
Closed Sets

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.

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