scholarly journals On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Mathematics ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 1 ◽  
Author(s):  
Wadei Al-Omeri ◽  
Saeid Jafari
Keyword(s):  
The Other ◽  
Topological Spaces ◽  
Compact Spaces ◽  
Extremally Disconnected ◽  
Closed Sets ◽  
Connected Spaces

In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic p T 1 2 space and neutrosophic g p T 1 2 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.

scholarly journals On perfectly αδ-continuous functions in topological spaces

2021 ◽  
Vol 11 (1) ◽  
pp. 6-11
Author(s):  
Basker P
Keyword(s):  
Research Paper ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Compact Spaces ◽  
Closed Sets ◽  
Connected Spaces

The concept of αδ-closed sets was introduced in the research paper “On Strongly-αδ-Super-Irresolute Functions In Topological Spaces. The aim of this paper is to consider and characterize αδ-irresolute and αδ-continuous functions via the concept of αδ-closed sets and to relate these concepts to the classes of αδ-compact spaces and αδ0-connected spaces.

scholarly journals (Λ, Sp)-closed Sets and Related Topics in Topological Spaces

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Topological Spaces ◽  
Extremally Disconnected ◽  
Closed Sets

The purpose of the present paper is to introduce the concepts of Λsp-sets, (Λ, sp)-open sets and (Λ, sp)- closed sets which are defined by utilizing the notions of β-open sets and β-closed sets. Some characterizations of Λsp-submaximal spaces, Λsp-extremally disconnected spaces and Λsp-hyperconnected spaces are established. Moreover, several characterizations of upper and lower (Λ, sp)-continuous multifunctions are investigated.

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 Onpairwise Compactness in Fuzzy Finebi-Topological Spaces

2020 ◽  
Vol 9 (3) ◽  
pp. 1122-1125
Keyword(s):  
Open Cover ◽  
Topological Spaces ◽  
Compact Spaces ◽  
Equivalent Statement ◽  
Connected Spaces

In this paper the concepts of Pairwise ( , ) Tif Tjf fuzzy fine dually open cover, Pairwise ( , ) Tif Tjf fuzzy fine dually compact spacesand Pairwise ( , ) Tif Tjf fuzzy fine connected spaces are introduced and also an equivalent statement on Pairwise ( , ) Tif Tjf fuzzy fine dually compact spaces is established.

scholarly journals F-Rings of Continuous Functions I

1959 ◽  
Vol 11 ◽  
pp. 80-86 ◽  
Author(s):  
Barron Brainerd
Keyword(s):  
Topological Space ◽  
Banach Algebra ◽  
Compact Hausdorff Space ◽  
Hausdorff Space ◽  
Continuous Functions ◽  
The Other ◽  
Topological Spaces ◽  
Closed Sets ◽  
Real Complex

It is well known (2, 4) that the ring of all real (complex) continuous functions on a compact Hausdorff space can be characterized algebraically as a Banach algebra which satisfies certain additional intrinsic conditions. It might be expected that rings of all continuous functions on other topological spaces also have algebraic characterizations. The main purpose of this note is to discuss two such characterizations. In both cases the characterizations are given in the terms of the theory of F-brings (1). In one case a characterization is given for the ring of all (real) continuous functions on a generalized P-space, that is, a zero-dimensional topological space in which the class of open-closed sets forms a σ-algebra. A Hausdorff generalized P-space is a P-space in the terminology of (3). In the other case a theorem of Sikorski (6) is employed to give a characterization of the ring of all (real) continuous functions on an upper X1-compact P-space.

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
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