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 Relations of Pre Generalized Regular Weakly Locally Closed Sets in Topological Spaces

2021 ◽  
Vol 12 (3) ◽  
pp. 3444-3454
Author(s):  
Vijayakumari T Et.al
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Closed Set ◽  
Closed Sets ◽  
Open Set ◽  
Continuous Maps ◽  
Locally Closed Sets

In this paper pgrw-locally closed set, pgrw-locally closed*-set and pgrw-locally closed**-set are introduced. A subset A of a topological space (X,t) is called pgrw-locally closed (pgrw-lc) if A=GÇF where G is a pgrw-open set and F is a pgrw-closed set in (X,t). A subset A of a topological space (X,t) is a pgrw-lc* set if there exist a pgrw-open set G and a closed set F in X such that A= GÇF. A subset A of a topological space (X,t) is a pgrw-lc**-set if there exists an open set G and a pgrw-closed set F such that A=GÇF. The results regarding pgrw-locally closed sets, pgrw-locally closed* sets, pgrw-locally closed** sets, pgrw-lc-continuous maps and pgrw-lc-irresolute maps and some of the properties of these sets and their relation with other lc-sets are established.

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.

A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

2015 ◽  
Vol 7 (1) ◽  
pp. 62-73 ◽  
Author(s):  
Hamid Reza Moradi
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Basic Properties ◽  
New Class ◽  
Properties And Characterization ◽  
Open Set ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Characterization Theorems

A nonzero fuzzy open set () of a fuzzy topological space is said to be fuzzy minimal open (resp. fuzzy maximal open) set if any fuzzy open set which is contained (resp. contains) in is either or itself (resp. either or itself). In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses of open sets. Some basic properties and characterization theorems are also to be investigated.

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 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.

ON Neutrosophic Crisp Supra Bi-Topological Spaces

2020 ◽  
pp. 36-46
Author(s):  
Riad K. Al Al-Hamido ◽  
Keyword(s):  
Topological Structure ◽  
General Structure ◽  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Open Set

In this paper, neutrosophic crisp supra bi-topological structure, which is a more general structure than neutrosophic crisp supra topological spaces, is built on neutrosophic crisp sets. The necessary arguments which are pairwise neutrosophic crisp supra open set, pairwise neutrosophic crisp supra closed set, pairwise neutrosophic crisp supra closure, pairwise neutrosophic crisp supra interior is defined, and their basic properties are presented. Finally, many examples are presented.

scholarly journals g*s-IRRESOLUTE MAPS IN TOPOLOGICAL SPACES

2018 ◽  
Vol 127 (1A) ◽  
pp. 125
Author(s):  
Ông Văn Tuyên
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class ◽  
Continuous Maps

<p>In 2009, A. I. El-Maghrabi and A. A. Nasef introduced a new class of sets between semi-closed and gs<em>-</em>closed sets called g*s-closed and gave some of their properties ([1]). In this paper, we introduce and study the concepts of three new class of maps, namely g*s<em>-</em>continuous maps, g*s<em>-</em>irresolute maps and g*s<em>-</em>closed maps. Moreover, we introduce the concepts of g*s<em>-</em>compactness of topological spaces.</p>

scholarly journals On Pretopological Vector Spaces

2019 ◽  
pp. 241-254
Author(s):  
Madhu Ram ◽  
Shallu Sharma
Keyword(s):  
Vector Space ◽  
Vector Spaces ◽  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
New Class

The purpose of the present paper is to introduce the new class of topological spaces, namely pretopological vector spaces. We study some of the basic properties of pretopological vector spaces and investigate their relationships with certain existing spaces. Along with other results, it is proved that translation of an open (resp. closed) set in a pretopological vector space is pre-open (resp. pre-closed), that translations (x \mapsto a+x) and dilations (x \mapsto \lambda x) on pretopological vector spaces are precontinuous.

scholarly journals NANO bT CLOSED SET IN NANO TOPOLOGICAL SPACES

2015 ◽  
Vol 2 (2) ◽  
pp. 26-29
Author(s):  
Krishnaveni K ◽  
Vigneshwaran M
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Closed Set ◽  
Closed Sets ◽  
New Class

In this paper, we introduce a new class of set namely n a n o bT -closed sets in nano topological space. WealsodiscussedsomepropertiesofnanobTclosedset.

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