scholarly journals Locally gωα-Closed Sets in Topological Spaces

2017 ◽  
Vol 19 ◽  
pp. 1-9
Author(s):  
S.S. Benchalli ◽  
Prakash Gouda Patil ◽  
Pushpa M. Nalwad
Keyword(s):  
Continuous Functions ◽  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Locally Closed Sets

In the year 2014, the present authors introduced and studied the concept of gωα-closed sets in topological spaces. The purpose of this paper to introduce a new class of locally closed sets called gωα-locally closed sets (briefly gωαlc-sets) and study some of their properties. Also gωα-locally closed continuous (briefly gωαlc-continuous) functions and its irresolute functions are introduced and studied their properties in topological spaces.

scholarly journals New notions in ideal topological space

2019 ◽  
Vol 38 (5) ◽  
pp. 19-31
Author(s):  
Chinnapazham Santhini ◽  
M. Suganya
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Locally Closed Sets

In this paper, we apply the notion of I∗∗α g -closed sets to present and study a new class of locally closed sets called I∗∗α g -locally closed sets in ideal topological spaces along with their several characterizations and mutual relationships between the new notion and other locally closed sets. Further we introduce I∗∗α g-submaximal space and some properties of such notion are investigated.

scholarly journals Generalized locally-$\tau_g\star$-closed sets

2017 ◽  
Vol 35 (2) ◽  
pp. 171-175
Author(s):  
K. Bhavani
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Locally Closed Sets

In this paper, we define and study a new class of generally locally closed sets called $\I$-locally-$\tau_g^\star$-closed sets in ideal topological spaces. We also discuss various characterizations of $\I$-locally-$\tau_g^\star$-closed sets in terms of $g$-closed sets and $\I_g$-closed sets.

scholarly journals SGP- LOCALLY CLOSED SETS IN TOPOLOGICAL SPACES (PART -II)

2021 ◽  
Vol 8 (65) ◽  
pp. 14917-14922
Author(s):  
Tippeshi V. Marigoudar ◽  
Manjunathayya M. Holliyavar
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Locally Closed Sets

The aim of this paper is to introduce the new class of sgp- locally closed sets in topological spaces and studied some of their properties and characterizations.

scholarly journals Locally closed sets andLC-continuous functions

1989 ◽  
Vol 12 (3) ◽  
pp. 417-424 ◽  
Author(s):  
M. Ganster ◽  
I. L. Reilly
Keyword(s):  
Topological Space ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Closed Set ◽  
Closed Sets ◽  
Generalized Continuity ◽  
Locally Closed Sets ◽  
Nearly Continuous

In this paper we introduce and study three different notions of generalized continuity, namely LC-irresoluteness, LC-continuity and sub-LC-continuity. All three notions are defined by using the concept of a locally closed set. A subset S of a topological space X is locally closed if it is the intersection of an open and a closed set. We discuss some properties of these functions and show that a function between topological spaces is continuous if and only if it is sub-LC-continuous and nearly continuous in the sense of Ptak. Several examples are provided to illustrate the behavior of these new classes of functions.

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.

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